Details

analyze299.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
18.7%	81.2%	0.1%	7
25%	73.4%	1.7%	8
28.1%	68.7%	3.2%	9
31.2%	62.8%	6%	10
32.8%	60.1%	7.1%	11
34.3%	56.7%	9%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (17%)

Results

1.0s	2310×	body	1024	valid
743.0ms	4722×	body	256	valid
346.0ms	1219×	body	512	valid
56.0ms	360×	body	256	invalid
3.0ms	5×	body	2048	valid

preprocess82.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

698×	`fma-def_binary64`
260×	`fma-neg_binary64`
199×	`associate-/r*_binary64`
178×	`distribute-rgt-in_binary64`
166×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	41	28
2	98	28
3	173	28
4	275	28
5	417	28
6	520	28
7	665	28
8	828	28
9	877	28
10	917	28
11	1082	28
12	1594	28
13	3170	28
14	3388	28
15	3448	28
16	3484	28
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (tan.f64 B))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (*.f64 B (/.f64 1 (tan.f64 x)))) (/.f64 1 (sin.f64 x)))
(+.f64 (*.f64 (neg.f64 B) (/.f64 1 (tan.f64 x))) (/.f64 1 (sin.f64 x)))
(-.f64 (/.f64 1 (sin.f64 x)) (/.f64 B (tan.f64 x)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

105×	`fma-def_binary64`
66×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
11×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Outputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(+.f64 (*.f64 x (neg.f64 (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

eval1.0ms (0%)

Compiler: Compiled 23 to 15 computations (34.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
▶	0.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Compiler

Compiled 25 to 19 computations (24% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
✓	0.1b	(/.f64 1 (tan.f64 B))
✓	0.2b	(/.f64 1 (sin.f64 B))
✓	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series13.0ms (0.1%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	B	@	inf	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	x	@	inf	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	B	@	-inf	(*.f64 x (/.f64 1 (tan.f64 B)))
1.0ms	B	@	0	(*.f64 x (/.f64 1 (tan.f64 B)))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

559×	`log-prod_binary64`
394×	`fma-def_binary64`
334×	`pow-prod-down_binary64`
283×	`pow2_binary64`
228×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	240	32
2	3340	32

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(*.f64 x (/.f64 1 (tan.f64 B)))
(/.f64 1 (sin.f64 B))
(/.f64 1 (tan.f64 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (sqrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 3)) (+.f64 0 (+.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (.f64 0 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) 1) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 x) -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -1) (neg.f64 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) (cbrt.f64 (pow.f64 (tan.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (tan.f64 B) -1/2) (pow.f64 (tan.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 -1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 1 (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 B)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 B)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (tan.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tan.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (tan.f64 B))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (+.f64 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simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

683×	`sub-neg_binary64`
502×	`distribute-rgt-in_binary64`
494×	`fma-def_binary64`
480×	`distribute-lft-in_binary64`
370×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	946
1	225	913
2	695	893
3	3070	889
4	7501	889

Stop Event

1×	node limit

Counts

260 → 232

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))

Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 x (*.f64 1/45 (pow.f64 B 3))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 B (.f64 x -1/3) (/.f64 x B)))
(+.f64 (/.f64 x B) (.f64 x (fma.f64 B -1/3 (.f64 (pow.f64 B 3) -1/45))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(-.f64 (-.f64 (fma.f64 (.f64 B -1/3) x (/.f64 x B)) (.f64 x (.f64 1/45 (pow.f64 B 3)))) (.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) (pow.f64 B 5)))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 x (.f64 (pow.f64 B 3) 1/45))))
(fma.f64 (pow.f64 B 5) (.f64 x -2/945) (+.f64 (/.f64 x B) (.f64 x (fma.f64 B -1/3 (*.f64 (pow.f64 B 3) -1/45)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 (pow.f64 B 3) 7/360 (fma.f64 B 1/6 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 (pow.f64 B 3) 7/360 (fma.f64 (pow.f64 B 5) 31/15120 (/.f64 1 B))))
(/.f64 1 B)
(+.f64 (*.f64 -1/3 B) (/.f64 1 B))
(fma.f64 -1/3 B (/.f64 1 B))
(fma.f64 B -1/3 (/.f64 1 B))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (/.f64 1 B)))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B)))
(+.f64 (.f64 -1/3 B) (+.f64 (.f64 -1/45 (pow.f64 B 3)) (+.f64 (*.f64 -2/945 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 -1/3 B (fma.f64 -1/45 (pow.f64 B 3) (fma.f64 -2/945 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 3) -1/45 (fma.f64 (pow.f64 B 5) -2/945 (/.f64 1 B))))
(fma.f64 B -1/3 (fma.f64 (pow.f64 B 5) -2/945 (fma.f64 (pow.f64 B 3) -1/45 (/.f64 1 B))))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 (cos.f64 B) (sin.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
✓	0.1b	(/.f64 x (tan.f64 B))
	0.2b	(/.f64 1 (sin.f64 B))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (tan.f64 B))
0.0ms	B	@	0	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms	B	@	0	(/.f64 x (tan.f64 B))
0.0ms	B	@	inf	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
0.0ms	x	@	inf	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`prod-diff_binary64`
495×	`log-prod_binary64`
276×	`fma-def_binary64`
272×	`pow2_binary64`
200×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	199	20
2	2915	20

Stop Event

1×	node limit

Counts

2 → 238

Calls

Call 1

Inputs
(/.f64 x (tan.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 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Outputs

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B))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (/.f64 1 (*.f64 (tan.f64 B) (sin.f64 B))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 (tan.f64 B) x) -3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 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(/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (sqrt.f64 (/.f64 (neg.f64 x) (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (/.f64 (neg.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (/.f64 (neg.f64 x) (tan.f64 B)) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (/.f64 (neg.f64 x) (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

683×	`sub-neg_binary64`
520×	`distribute-rgt-in_binary64`
506×	`distribute-lft-in_binary64`
370×	`cancel-sign-sub-inv_binary64`
348×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	784
1	168	751
2	549	731
3	2780	729
4	7258	729

Stop Event

1×	node limit

Counts

286 → 260

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(fma.f64 (*.f64 B -1/3) x (/.f64 x B))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B)))
(fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (.f64 x -1/45) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (fma.f64 17/315 x (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45)))) (pow.f64 B 5)) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 (neg.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105))) (pow.f64 B 5) (fma.f64 (neg.f64 (.f64 x 1/45)) (pow.f64 B 3) (fma.f64 (.f64 B -1/3) x (/.f64 x B))))
(-.f64 (fma.f64 B (.f64 x -1/3) (/.f64 x B)) (fma.f64 (.f64 x 2/945) (pow.f64 B 5) (.f64 (.f64 x 1/45) (pow.f64 B 3))))
(fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 B (.f64 x -1/3) (fma.f64 (pow.f64 B 3) (*.f64 x -1/45) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))
(*.f64 (cos.f64 B) (/.f64 x (sin.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 1/6 (.f64 x 1/3))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 31/15120 (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)))))) (pow.f64 B 5)) (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (+.f64 (.f64 (+.f64 7/360 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (fma.f64 17/315 x (+.f64 (fma.f64 -2/45 x (.f64 -1/3 (.f64 x 1/45))) 31/15120)) (pow.f64 B 5) (fma.f64 (+.f64 1/6 (.f64 x 1/3)) B (fma.f64 (+.f64 (.f64 x 1/45) 7/360) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (+.f64 (.f64 x -1/135) (.f64 x 1/105)) 31/15120) (+.f64 (fma.f64 B (fma.f64 x 1/3 1/6) (*.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (+.f64 (*.f64 x 2/945) 31/15120) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/45 7/360) (/.f64 (-.f64 1 x) B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (neg.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (*.f64 x (neg.f64 (cos.f64 B))) (sin.f64 B))
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 x (sin.f64 B)) (cos.f64 B)))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

eval158.0ms (1.2%)

Compiler: Compiled 11321 to 4844 computations (57.2% saved)

prune254.0ms (2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	512	18	530
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	513	19	532

Error

0.0b

Counts

532 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	34.1b	(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
	36.0b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
▶	33.3b	(/.f64 (-.f64 1 x) B)
	34.2b	(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
	36.1b	(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
▶	0.2b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
	0.2b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
	27.6b	(/.f64 1 (sin.f64 B))
	16.3b	(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
	18.5b	(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
✓	0.1b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
	1.3b	(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
	0.9b	(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
	12.3b	(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
▶	16.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
▶	0.2b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
	47.3b	(log.f64 (/.f64 1 (exp.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))
▶	29.9b	(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
	33.6b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))

Compiler

Compiled 455 to 326 computations (28.4% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))
✓	0.1b	(*.f64 x (sin.f64 B))
✓	0.1b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
✓	0.2b	(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))

Compiler

Compiled 42 to 8 computations (81% saved)

series63.0ms (0.5%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
38.0ms	B	@	0	(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
2.0ms	B	@	inf	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
2.0ms	B	@	0	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
2.0ms	B	@	-inf	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
2.0ms	B	@	inf	(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))

rewrite329.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

960×	`prod-diff_binary64`
641×	`log-prod_binary64`
245×	`fma-def_binary64`
222×	`egg-rr`
204×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	54
1	210	54
2	3358	54

Stop Event

1×	node limit

Counts

4 → 432

Calls

Call 1

Inputs
(/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(*.f64 x (sin.f64 B))
(-.f64 (tan.f64 B) (*.f64 x (sin.f64 B)))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (sin.f64 B))) (sqrt.f64 (sin.f64 B)) (tan.f64 B))))))

simplify152.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

902×	`distribute-rgt-in_binary64`
544×	`fma-def_binary64`
360×	`associate-+l+_binary64`
300×	`associate-+r+_binary64`
266×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1869
1	391	1840
2	1186	1441
3	5271	1329

Stop Event

1×	node limit

Counts

528 → 482

Calls

Call 1

Inputs
(-.f64 1 x)
(-.f64 (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) 1) x)
(-.f64 (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (.f64 (-.f64 2/15 (+.f64 (.f64 1/120 (-.f64 1 x)) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4)))) x)
(-.f64 (+.f64 (.f64 (-.f64 17/315 (+.f64 (.f64 -1/6 (-.f64 2/15 (+.f64 (.f64 1/120 (-.f64 1 x)) (+.f64 (.f64 -1/6 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (.f64 1/120 x))))) (+.f64 (.f64 1/120 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (+.f64 (.f64 -1/5040 (-.f64 1 x)) (.f64 -1/5040 x))))) (pow.f64 B 6)) (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (.f64 (-.f64 2/15 (+.f64 (.f64 1/120 (-.f64 1 x)) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4))))) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 1 (cos.f64 B))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(*.f64 -1 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (*.f64 -1/6 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (.f64 -1/6 x))) B) (+.f64 (.f64 (-.f64 2/15 (+.f64 (.f64 1/6 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (+.f64 (.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (pow.f64 B 5) (-.f64 17/315 (+.f64 (.f64 173/5040 (-.f64 1 x)) (+.f64 (.f64 -1/5040 x) (+.f64 (.f64 31/360 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (.f64 1/6 (-.f64 2/15 (+.f64 (.f64 1/6 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (+.f64 (.f64 31/360 (-.f64 1 x)) (.f64 1/120 x)))))))))) (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (.f64 -1/6 x))) B) (+.f64 (.f64 (-.f64 2/15 (+.f64 (.f64 1/6 (-.f64 1/3 (+.f64 (.f64 1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (+.f64 (.f64 1/120 x) (*.f64 31/360 (-.f64 1 x))))) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 (.f64 (cos.f64 B) (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 (sin.f64 B) x))) (pow.f64 (sin.f64 B) 2))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 x B)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) x)) (*.f64 x B))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) x)) (*.f64 x B)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 B 3) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 B 5) x)) (+.f64 (.f64 x B) (.f64 -1/5040 (*.f64 (pow.f64 B 7) x)))))
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (sin.f64 B) x)
(*.f64 (-.f64 1 x) B)
(+.f64 (.f64 (-.f64 1 x) B) (.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))
(+.f64 (.f64 (-.f64 1 x) B) (+.f64 (.f64 (-.f64 2/15 (.f64 1/120 x)) (pow.f64 B 5)) (.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))))
(+.f64 (.f64 (-.f64 17/315 (.f64 -1/5040 x)) (pow.f64 B 7)) (+.f64 (.f64 (-.f64 1 x) B) (+.f64 (.f64 (-.f64 2/15 (.f64 1/120 x)) (pow.f64 B 5)) (.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(/.f64 (sin.f64 B) (cos.f64 B))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(.f64 -1 (.f64 (sin.f64 B) x))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(.f64 -1 (.f64 (sin.f64 B) x))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))

Outputs
(-.f64 1 x)
(-.f64 (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))) (pow.f64 B 2)) 1) x)
(-.f64 (fma.f64 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (.f64 B B) 1) x)
(-.f64 (fma.f64 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))) (.f64 B B) 1) x)
(-.f64 (fma.f64 1/2 (*.f64 B B) 1) x)
(-.f64 (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (.f64 (-.f64 2/15 (+.f64 (.f64 1/120 (-.f64 1 x)) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4)))) x)
(-.f64 (+.f64 (fma.f64 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (.f64 B B) 1) (.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 1/120 (-.f64 1 x) (fma.f64 -1/6 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 x 1/120)))))) x)
(fma.f64 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))) (.f64 B B) (-.f64 (fma.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 x 1/120 (.f64 -1/6 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))))))) 1) x))
(-.f64 (fma.f64 1/2 (*.f64 B B) (fma.f64 (pow.f64 B 4) 5/24 1)) x)
(fma.f64 1/2 (*.f64 B B) (-.f64 (fma.f64 (pow.f64 B 4) 5/24 1) x))
(-.f64 (+.f64 (.f64 (-.f64 17/315 (+.f64 (.f64 -1/6 (-.f64 2/15 (+.f64 (.f64 1/120 (-.f64 1 x)) (+.f64 (.f64 -1/6 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (.f64 1/120 x))))) (+.f64 (.f64 1/120 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x)))) (+.f64 (.f64 -1/5040 (-.f64 1 x)) (.f64 -1/5040 x))))) (pow.f64 B 6)) (+.f64 (.f64 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (.f64 -1/6 x))) (pow.f64 B 2)) (+.f64 1 (.f64 (-.f64 2/15 (+.f64 (.f64 1/120 (-.f64 1 x)) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 1/3 (+.f64 (.f64 -1/6 (-.f64 1 x)) (*.f64 -1/6 x))))))) (pow.f64 B 4))))) x)
(-.f64 (fma.f64 (-.f64 17/315 (fma.f64 -1/6 (-.f64 2/15 (fma.f64 1/120 (-.f64 1 x) (fma.f64 -1/6 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (.f64 x 1/120)))) (fma.f64 1/120 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (.f64 -1/5040 (+.f64 (-.f64 1 x) x))))) (pow.f64 B 6) (+.f64 (fma.f64 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (.f64 B B) 1) (.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 1/120 (-.f64 1 x) (fma.f64 -1/6 (-.f64 1/3 (.f64 -1/6 (+.f64 (-.f64 1 x) x))) (*.f64 x 1/120))))))) x)
(fma.f64 (-.f64 17/315 (fma.f64 -1/6 (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 x 1/120 (.f64 -1/6 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))))))) (fma.f64 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))) 1/120 (.f64 -1/5040 (+.f64 x (-.f64 1 x)))))) (pow.f64 B 6) (fma.f64 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))) (.f64 B B) (-.f64 (fma.f64 (pow.f64 B 4) (-.f64 2/15 (fma.f64 (-.f64 1 x) 1/120 (fma.f64 x 1/120 (.f64 -1/6 (+.f64 1/3 (.f64 1/6 (+.f64 x (-.f64 1 x)))))))) 1) x)))
(-.f64 (fma.f64 1/2 (*.f64 B B) (fma.f64 61/720 (pow.f64 B 6) (fma.f64 (pow.f64 B 4) 5/24 1))) x)
(fma.f64 61/720 (pow.f64 B 6) (fma.f64 1/2 (*.f64 B B) (-.f64 (fma.f64 (pow.f64 B 4) 5/24 1) x)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(/.f64 1 (cos.f64 B))
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (*.f64 -1 x) (/.f64 1 (cos.f64 B)))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
(+.f64 (/.f64 1 (cos.f64 B)) (*.f64 -1 x))
(/.f64 (-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B))) (sin.f64 B))
(-.f64 (/.f64 1 (cos.f64 B)) (*.f64 1 x))
(-.f64 (/.f64 1 (cos.f64 B)) x)
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(fma.f64 (-.f64 1 x) B (.f64 (pow.f64 B 3) (+.f64 1/3 (.f64 1/6 x))))
(fma.f64 (-.f64 1 x) B (.f64 (pow.f64 B 3) (-.f64 1/3 (.f64 x -1/6))))
(fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3)))
(+.f64 (.f64 (-.f64 1 x) B) (+.f64 (.f64 (-.f64 2/15 (.f64 1/120 x)) (pow.f64 B 5)) (.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3))))
(fma.f64 (-.f64 1 x) B (fma.f64 (+.f64 2/15 (.f64 -1/120 x)) (pow.f64 B 5) (.f64 (pow.f64 B 3) (+.f64 1/3 (*.f64 1/6 x)))))
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 5) (+.f64 2/15 (.f64 x -1/120)) (.f64 (pow.f64 B 3) (-.f64 1/3 (*.f64 x -1/6)))))
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15))))
(fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15))))
(+.f64 (.f64 (-.f64 17/315 (.f64 -1/5040 x)) (pow.f64 B 7)) (+.f64 (.f64 (-.f64 1 x) B) (+.f64 (.f64 (-.f64 2/15 (.f64 1/120 x)) (pow.f64 B 5)) (.f64 (-.f64 1/3 (*.f64 -1/6 x)) (pow.f64 B 3)))))
(fma.f64 (+.f64 17/315 (.f64 1/5040 x)) (pow.f64 B 7) (fma.f64 (-.f64 1 x) B (fma.f64 (+.f64 2/15 (.f64 -1/120 x)) (pow.f64 B 5) (.f64 (pow.f64 B 3) (+.f64 1/3 (.f64 1/6 x))))))
(fma.f64 (pow.f64 B 7) (-.f64 17/315 (.f64 x -1/5040)) (fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 5) (+.f64 2/15 (.f64 x -1/120)) (.f64 (pow.f64 B 3) (-.f64 1/3 (.f64 x -1/6))))))
(fma.f64 (-.f64 1 x) B (fma.f64 (pow.f64 B 7) (fma.f64 x 1/5040 17/315) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15)))))
(fma.f64 (pow.f64 B 7) (fma.f64 x 1/5040 17/315) (fma.f64 (pow.f64 B 3) (fma.f64 x 1/6 1/3) (fma.f64 (-.f64 1 x) B (*.f64 (pow.f64 B 5) (fma.f64 x -1/120 2/15)))))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 (sin.f64 B) x))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(/.f64 (sin.f64 B) (cos.f64 B))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(.f64 -1 (.f64 (sin.f64 B) x))
(neg.f64 (*.f64 x (sin.f64 B)))
(*.f64 (sin.f64 B) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(.f64 -1 (.f64 (sin.f64 B) x))
(neg.f64 (*.f64 x (sin.f64 B)))
(*.f64 (sin.f64 B) (neg.f64 x))
(*.f64 x (neg.f64 (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))
(+.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (.f64 -1 (.f64 (sin.f64 B) x)))
(-.f64 (/.f64 (sin.f64 B) (cos.f64 B)) (*.f64 x (sin.f64 B)))

localize12.0ms (0.1%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

localize34.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	0.1b	(/.f64 1 (tan.f64 B))
	0.2b	(*.f64 x (/.f64 1 (tan.f64 B)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
1.0ms	B	@	0	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
1.0ms	B	@	-inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
1.0ms	B	@	inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
1.0ms	x	@	inf	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))

rewrite91.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
386×	`fma-def_binary64`
307×	`pow-prod-down_binary64`
260×	`pow2_binary64`
216×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	222	12
2	3133	12

Stop Event

1×	node limit

Counts

1 → 100

Calls

Call 1

Inputs
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) (/.f64 (pow.f64 B -2) (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 B) 0) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(pow.f64 B -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (exp.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (/.f64 1 B)) (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))) (exp.f64 (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 x (tan.f64 B))) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (exp.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 B)) (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 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fma.f64 1 (/.f64 x (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 B) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (tan.f64 B)) x (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (tan.f64 B)) 1 (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (tan.f64 B)) -1 (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 B) 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2)) (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 -1 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (cbrt.f64 B)) (cbrt.f64 (pow.f64 B -2)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 B -2)) (/.f64 1 (cbrt.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (tan.f64 B) -2)) (*.f64 (/.f64 1 (cbrt.f64 (tan.f64 B))) x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (pow.f64 B -1/2) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 B) -1/2) (/.f64 x (sqrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (tan.f64 B) -1/2) (*.f64 (pow.f64 (tan.f64 B) -1/2) x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -2) (/.f64 1 (cbrt.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sqrt.f64 (tan.f64 B))) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x 1) (/.f64 1 (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) 2))) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (tan.f64 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 x) (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (tan.f64 B) -2))) (/.f64 1 (cbrt.f64 (tan.f64 B))) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (tan.f64 B) -1/2)) (pow.f64 (tan.f64 B) -1/2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 B))))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

720×	`associate--l+_binary64`
714×	`associate-+l+_binary64`
504×	`associate-+r+_binary64`
407×	`fma-neg_binary64`
362×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	424
1	126	402
2	344	396
3	1343	392
4	4729	392

Stop Event

1×	node limit

Counts

124 → 113

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 1/3 (.f64 B x)) (/.f64 (-.f64 1 x) B))
(fma.f64 1/3 (*.f64 B x) (/.f64 (-.f64 1 x) B))
(fma.f64 B (*.f64 x 1/3) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (.f64 B x) (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 1/3 (.f64 B x) (.f64 x (*.f64 1/45 (pow.f64 B 3)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (.f64 x 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (.f64 B x) (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 1/3 (.f64 B x) (+.f64 (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (.f64 (fma.f64 x 17/315 (fma.f64 x -2/45 (.f64 x -1/135))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 B (.f64 x 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (/.f64 (-.f64 1 x) B))) (.f64 (fma.f64 x 17/315 (.f64 x -7/135)) (pow.f64 B 5)))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 B (.f64 x 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (.f64 (.f64 x 2/945) (pow.f64 B 5)))))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 B (.f64 x 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (.f64 (.f64 x (pow.f64 B 5)) 2/945))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(/.f64 (neg.f64 x) (/.f64 (sin.f64 B) (cos.f64 B)))
(*.f64 (neg.f64 x) (/.f64 (cos.f64 B) (sin.f64 B)))
(*.f64 (neg.f64 (cos.f64 B)) (/.f64 x (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(-.f64 (/.f64 1 B) (*.f64 (cos.f64 B) (/.f64 x (sin.f64 B))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
✓	0.1b	(*.f64 (cos.f64 B) x)
	0.2b	(/.f64 1 (sin.f64 B))
✓	0.2b	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

Compiler

Compiled 36 to 12 computations (66.7% saved)

series19.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	B	@	inf	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
2.0ms	B	@	0	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms	B	@	-inf	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms	x	@	0	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
1.0ms	x	@	inf	(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))

rewrite196.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

911×	`prod-diff_binary64`
577×	`log-prod_binary64`
342×	`fma-def_binary64`
286×	`egg-rr`
202×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	218	31
2	3265	26

Stop Event

1×	node limit

Counts

3 → 352

Calls

Call 1

Inputs
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(*.f64 (cos.f64 B) x)
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (/.f64 1 (/.f64 (sin.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 B) (*.f64 x (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (cos.f64 B) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 B) x) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (/.f64 (*.f64 (cos.f64 B) x) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (*.f64 (cos.f64 B) x) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) 1) (/.f64 x (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 (cos.f64 B) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 1) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 x (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (cos.f64 B) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))) (/.f64 x (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (sin.f64 B))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 2) (sqrt.f64 (sin.f64 B))) (/.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 B) x) (cbrt.f64 (pow.f64 (sin.f64 B) -2))) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 B) x) (pow.f64 (sin.f64 B) -1/2)) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (tan.f64 B) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 B) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 B) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (cos.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 B) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (*.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 -1 (/.f64 x (tan.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (sin.f64 B)))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B)))) (/.f64 x (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) x))) (cos.f64 B) (*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (sin.f64 B)) 1 (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) x))) (cos.f64 B) (*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (neg.f64 (*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (/.f64 (sin.f64 B) x))) (cos.f64 B) (*.f64 (/.f64 1 (/.f64 (sin.f64 B) x)) (cos.f64 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(/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))) (pow.f64 (sin.f64 B) -2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (sin.f64 B) -3) (pow.f64 (/.f64 x (tan.f64 B)) 3)) (/.f64 1 (fma.f64 (/.f64 x (tan.f64 B)) (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 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-2) (pow.f64 (/.f64 x (tan.f64 B)) 2)) (/.f64 1 (+.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B)))) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B))))) (cbrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (neg.f64 (/.f64 x (tan.f64 B)))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) (*.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (-.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (/.f64 x (tan.f64 B)))) (+.f64 (neg.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)) (cbrt.f64 (/.f64 x (tan.f64 B))) (/.f64 1 (sin.f64 B)))))))

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

764×	`sub-neg_binary64`
443×	`*-commutative_binary64`
371×	`fma-def_binary64`
315×	`unsub-neg_binary64`
308×	`associate--l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	599
1	244	517
2	753	453
3	3593	436
4	6585	436

Stop Event

1×	node limit

Counts

376 → 378

Calls

Call 1

Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)
(+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 B 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 31/15120 (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x)) B))
(+.f64 (/.f64 x B) (.f64 B (.f64 x -1/3)))
(fma.f64 B (*.f64 x -1/3) (/.f64 x B))
(fma.f64 (*.f64 x B) -1/3 (/.f64 x B))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (.f64 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3))))
(+.f64 (/.f64 x B) (fma.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (pow.f64 B 3) (.f64 x (.f64 -1/3 B))))
(fma.f64 x (.f64 B -1/3) (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (/.f64 x B)))
(+.f64 (/.f64 x B) (+.f64 (.f64 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)) B) (+.f64 (.f64 (-.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (pow.f64 B 5)) (.f64 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (*.f64 -1/6 x))))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/3) B (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (.f64 x -1/3) 1/120)))) (pow.f64 B 5) (.f64 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (*.f64 x -1/3)))) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 B (.f64 x -1/3) (fma.f64 (-.f64 (.f64 x -1/720) (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360)))) (pow.f64 B 5) (.f64 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (pow.f64 B 3)))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 (-.f64 (fma.f64 x -1/720 (.f64 (.f64 x -1/45) 1/6)) (.f64 x -1/336)) (pow.f64 B 5) (.f64 -1/3 (.f64 x B)))))
(+.f64 (/.f64 x B) (fma.f64 (.f64 x -1/45) (pow.f64 B 3) (fma.f64 (+.f64 (.f64 (.f64 x -1/45) 1/6) (.f64 x 1/630)) (pow.f64 B 5) (.f64 -1/3 (.f64 x B)))))
x
(+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)
(fma.f64 -1/2 (.f64 x (.f64 B B)) x)
(.f64 x (fma.f64 (.f64 B -1/2) B 1))
(+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x))
(fma.f64 1/24 (.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (.f64 x (*.f64 B B)) x))
(fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (.f64 B (.f64 B -1/2))) x)
(+.f64 (.f64 -1/720 (.f64 (pow.f64 B 6) x)) (+.f64 (.f64 1/24 (.f64 (pow.f64 B 4) x)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 B 2) x)) x)))
(fma.f64 -1/720 (.f64 x (pow.f64 B 6)) (fma.f64 1/24 (.f64 x (pow.f64 B 4)) (fma.f64 -1/2 (.f64 x (.f64 B B)) x)))
(fma.f64 x (.f64 -1/720 (pow.f64 B 6)) (fma.f64 x (fma.f64 1/24 (pow.f64 B 4) (.f64 B (*.f64 B -1/2))) x))
(.f64 x (+.f64 (fma.f64 (.f64 B -1/2) B 1) (fma.f64 -1/720 (pow.f64 B 6) (*.f64 1/24 (pow.f64 B 4)))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (*.f64 -1/2 x)) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 (+.f64 (.f64 x -1/6) 1/6) (*.f64 1/2 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 (+.f64 (.f64 x -1/6) 1/6) (.f64 1/2 x)) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 B (+.f64 1/6 (.f64 x 1/3)) (.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (.f64 x 1/18)) (-.f64 7/360 (.f64 x 1/24))))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B)))
(fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (-.f64 7/360 (*.f64 x -1/45)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (+.f64 31/15120 (+.f64 (.f64 -1/6 (-.f64 (.f64 1/24 x) (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (+.f64 (.f64 -1/5040 x) (.f64 1/120 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x)))))) (.f64 -1/720 x)) (pow.f64 B 5)) (+.f64 (.f64 (-.f64 (+.f64 1/6 (.f64 -1/6 x)) (.f64 -1/2 x)) B) (+.f64 (.f64 (-.f64 (+.f64 7/360 (+.f64 (.f64 1/120 x) (.f64 -1/6 (-.f64 (.f64 -1/2 x) (.f64 -1/6 x))))) (*.f64 1/24 x)) (pow.f64 B 3)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (+.f64 31/15120 (-.f64 (fma.f64 -1/6 (-.f64 (.f64 x 1/24) (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3)))) (fma.f64 -1/5040 x (.f64 (.f64 x -1/3) 1/120))) (.f64 x -1/720))) (pow.f64 B 5) (fma.f64 (+.f64 (+.f64 (.f64 x -1/6) 1/6) (.f64 1/2 x)) B (fma.f64 (+.f64 7/360 (-.f64 (fma.f64 1/120 x (.f64 -1/6 (.f64 x -1/3))) (*.f64 x 1/24))) (pow.f64 B 3) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (pow.f64 B 5) (+.f64 (fma.f64 -1/6 (-.f64 (.f64 x 1/30) (.f64 x 1/18)) (fma.f64 x -1/5040 (.f64 x -1/360))) (-.f64 31/15120 (.f64 x -1/720))) (+.f64 (fma.f64 B (+.f64 1/6 (.f64 x 1/3)) (.f64 (pow.f64 B 3) (+.f64 (fma.f64 x 1/120 (.f64 x 1/18)) (-.f64 7/360 (.f64 x 1/24))))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (pow.f64 B 5) (fma.f64 x 1/720 (+.f64 (.f64 x -1/336) (fma.f64 -1/6 (.f64 x -1/45) 31/15120))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (+.f64 7/360 (fma.f64 x 1/120 (*.f64 x 1/72))) (/.f64 (-.f64 1 x) B))))
(fma.f64 (pow.f64 B 5) (+.f64 31/15120 (fma.f64 -1/6 (.f64 x -1/45) (.f64 x -1/630))) (fma.f64 B (fma.f64 x 1/3 1/6) (fma.f64 (pow.f64 B 3) (-.f64 7/360 (*.f64 x -1/45)) (/.f64 (-.f64 1 x) B))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (/.f64 (sin.f64 B) (cos.f64 B))))

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (tan.f64 B))
	0.2b	(/.f64 1 (sin.f64 B))
✓	0.2b	(expm1.f64 (/.f64 1 (sin.f64 B)))
✓	0.6b	(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))

Compiler

Compiled 39 to 20 computations (48.7% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
1.0ms	B	@	inf	(expm1.f64 (/.f64 1 (sin.f64 B)))
1.0ms	B	@	-inf	(expm1.f64 (/.f64 1 (sin.f64 B)))
1.0ms	B	@	0	(expm1.f64 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	inf	(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`pow1_binary64`
481×	`add-sqr-sqrt_binary64`
461×	`expm1-log1p-u_binary64`
460×	`add-log-exp_binary64`
460×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1299	14

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))
(expm1.f64 (/.f64 1 (sin.f64 B)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 3) 1) (+.f64 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) (exp.f64 (/.f64 1 (sin.f64 B)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (/.f64 1 (sin.f64 B))) (exp.f64 (/.f64 1 (sin.f64 B)))) 1) (+.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 1 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))))))))

simplify194.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1204×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
680×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	193
1	59	193
2	119	193
3	274	193
4	476	193
5	974	193
6	1389	193
7	2025	193
8	2133	193
9	2295	193
10	2508	193
11	2838	193
12	3294	193
13	3893	193
14	4644	193
15	5578	193
16	6088	193
17	6576	193
18	6976	193
19	7300	193
20	7458	193

Stop Event

1×	node limit

Counts

66 → 50

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)

Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (/.f64 1 B)))
(fma.f64 B (fma.f64 7/360 (*.f64 B B) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 31/15120 (pow.f64 B 5) (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))
(-.f64 (exp.f64 (/.f64 1 (sin.f64 B))) 1)
(expm1.f64 (/.f64 1 (sin.f64 B)))

eval1.0s (8.2%)

Compiler: Compiled 37402 to 12688 computations (66.1% saved)

prune424.0ms (3.3%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1216	15	1231
Fresh	10	3	13
Picked	1	0	1
Done	3	2	5
Total	1230	20	1250

Error

Counts

1250 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	0.3b	(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
	27.6b	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
	33.5b	(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
	12.5b	(*.f64 (/.f64 (fma.f64 x (neg.f64 (sin.f64 B)) (tan.f64 B)) 1) (/.f64 (/.f64 1 (sin.f64 B)) (tan.f64 B)))
	47.3b	(log.f64 (/.f64 1 (exp.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))
	33.5b	(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
▶	16.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	24.3b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (sin.f64 B)) (tan.f64 B))
▶	33.6b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
	33.3b	(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
	15.0b	(/.f64 (-.f64 1 x) (tan.f64 B))
▶	0.2b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x (tan.f64 B)))
	27.6b	(/.f64 1 (sin.f64 B))
	36.0b	(/.f64 (neg.f64 x) (tan.f64 B))
▶	43.2b	(/.f64 1 B)
✓	33.3b	(/.f64 (-.f64 1 x) B)
▶	0.3b	(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))
✓	16.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
	0.2b	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

Compiler

Compiled 454 to 327 computations (28% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 x (tan.f64 B))
✓	0.1b	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)
	0.2b	(/.f64 1 (sin.f64 B))
✓	0.4b	(+.f64 1 (/.f64 1 (sin.f64 B)))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	B	@	0	(+.f64 1 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	inf	(+.f64 1 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	0	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)
0.0ms	B	@	-inf	(+.f64 1 (/.f64 1 (sin.f64 B)))
0.0ms	B	@	inf	(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
699×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	158	15
2	2232	15

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

Inputs
(+.f64 1 (/.f64 1 (sin.f64 B)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (/.f64 1 (sin.f64 B)))) (/.f64 (pow.f64 (sin.f64 B) -2) (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) (*.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))) (+.f64 1 (pow.f64 (sin.f64 B) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (/.f64 1 (sin.f64 B))) (-.f64 1 (pow.f64 (sin.f64 B) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) (+.f64 (pow.f64 (sin.f64 B) -2) (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2)) (-.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2))) (neg.f64 (-.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 B) -2) 1) (+.f64 (/.f64 1 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (sin.f64 B) -3)) 1) (+.f64 1 (-.f64 (pow.f64 (sin.f64 B) -2) (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (sin.f64 B) -2)) 1) (-.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) (cbrt.f64 (pow.f64 (sin.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -2)) (/.f64 1 (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 B) -1/2) (pow.f64 (sin.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1) (/.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -1) (pow.f64 (sqrt.f64 (sin.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 B) -1/2) (sqrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1) (+.f64 (/.f64 1 (sin.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1) (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) (+.f64 (/.f64 1 (sin.f64 B)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 2) -1)) (neg.f64 (+.f64 (/.f64 1 (sin.f64 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) (+.f64 (/.f64 1 (sin.f64 B)) -1)) (+.f64 (/.f64 1 (sin.f64 B)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 (sin.f64 B)) -1) (+.f64 (/.f64 1 (sin.f64 B)) -1))) (-.f64 1 (+.f64 (/.f64 1 (sin.f64 B)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 B) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 B) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 1 (sin.f64 B))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) 2) (cbrt.f64 (+.f64 1 (/.f64 1 (sin.f64 B)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) (hypot.f64 1 (pow.f64 (sin.f64 B) -1/2)) -1)))))

simplify160.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

780×	`sqr-pow_binary64`
708×	`cube-prod_binary64`
679×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	137
1	64	137
2	143	137
3	359	137
4	590	137
5	1109	137
6	1562	137
7	2198	137
8	2306	137
9	2468	137
10	2681	137
11	3011	137
12	3467	137
13	4065	137
14	4816	137
15	5752	137
16	6260	137
17	6748	137
18	7150	137
19	7470	137
20	7630	137

Stop Event

1×	node limit

Counts

96 → 92

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 1 (/.f64 1 B))
(+.f64 1 (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 1 (+.f64 (.f64 1/6 B) (/.f64 1 B))))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

Outputs
(/.f64 1 B)
(+.f64 1 (/.f64 1 B))
(+.f64 1 (+.f64 (*.f64 1/6 B) (/.f64 1 B)))
(+.f64 1 (fma.f64 1/6 B (/.f64 1 B)))
(+.f64 1 (fma.f64 B 1/6 (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 1 (+.f64 (.f64 1/6 B) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (+.f64 1 (fma.f64 1/6 B (/.f64 1 B))))
(+.f64 1 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (+.f64 1 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (+.f64 1 (/.f64 1 B))))
(+.f64 1 (fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B))))
(+.f64 (/.f64 1 B) (fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) 1))
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B (fma.f64 B (*.f64 B 7/360) 1/6) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
✓	0.0b	(+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B))
✓	0.3b	(*.f64 1/3 x)
✓	0.3b	(.f64 (+.f64 1/6 (.f64 1/3 x)) B)

Compiler

Compiled 54 to 36 computations (33.3% saved)

series27.0ms (0.2%)

Counts

4 → 45

Calls

21 calls:

Time	Variable		Point	Expression
18.0ms	B	@	0	(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
1.0ms	x	@	inf	(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
1.0ms	B	@	inf	(+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B))
1.0ms	B	@	inf	(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
1.0ms	x	@	inf	(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))

rewrite142.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

701×	`log-prod_binary64`
692×	`fma-def_binary64`
376×	`fma-neg_binary64`
264×	`expm1-udef_binary64`
264×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	298	39
2	4382	39

Stop Event

1×	node limit

Counts

4 → 268

Calls

Call 1

Inputs
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(*.f64 1/3 x)
(+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 B) (.f64 (.f64 1/3 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/3 x) B) (.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 B 1/6) (.f64 B (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 B (.f64 1/3 x)) (.f64 B 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B)) (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 1/3 x 1/6) B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/27 (pow.f64 x 3) 1/216) B) (fma.f64 (.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/36 (.f64 1/9 (.f64 x x))) B) (+.f64 1/6 (.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B (fma.f64 1/27 (pow.f64 x 3) 1/216)) (fma.f64 (.f64 1/3 x) (fma.f64 1/3 x -1/6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 B (-.f64 1/36 (.f64 1/9 (.f64 x x)))) (+.f64 1/6 (.f64 -1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 1/3 x 1/6) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 1/3 x 1/6) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 1/3 x 1/6) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 1/3 x 1/6) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 1/3 x 1/6) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/3 x 1/6) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 1/3 x 1/6) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 1/3 x 1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 1/3 x 1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 1/3 x 1/6) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 1/3 x 1/6) B)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 B (.f64 (.f64 1/3 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/3 x) B (.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B 1/6 (.f64 B (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B (.f64 1/3 x) (*.f64 B 1/6))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/3 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x)) (cbrt.f64 (pow.f64 (exp.f64 1/3) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/3) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/3 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/3 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/3 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/3 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/27 (pow.f64 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/9 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/3) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/3 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/27 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/3 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/3 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (fma.f64 1/3 x 1/6) B) 2) (-.f64 (.f64 (fma.f64 1/3 x 1/6) B) (/.f64 1 B))) (/.f64 (pow.f64 B -2) (-.f64 (.f64 (fma.f64 1/3 x 1/6) B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)) 2)) (cbrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (fma.f64 (fma.f64 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(pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/3 x 1/6) B))) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (pow.f64 (exp.f64 (fma.f64 1/3 x 1/6)) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (/.f64 1 B)) (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/3 x 1/6) B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (+.f64 1 (expm1.f64 (.f64 (fma.f64 1/3 x 1/6) B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 B) (.f64 (sqrt.f64 B) (fma.f64 1/3 x 1/6)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 B)) (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 B) 2) -1) (pow.f64 (cbrt.f64 B) -1) (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 B) -1) (pow.f64 (sqrt.f64 B) -1) (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/3 x 1/6) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/3 x 1/6) (sqrt.f64 B)) (sqrt.f64 B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2)) (cbrt.f64 (fma.f64 1/3 x 1/6)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (sqrt.f64 (fma.f64 1/3 x 1/6))) (sqrt.f64 (fma.f64 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(-.f64 (.f64 (fma.f64 1/3 x 1/6) B) (/.f64 1 B))) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (.f64 (fma.f64 1/3 x 1/6) B) 2) (pow.f64 B -2)) (/.f64 1 (-.f64 (.f64 (fma.f64 1/3 x 1/6) B) (/.f64 1 B))) (.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 (neg.f64 x) B)) (cbrt.f64 (/.f64 (neg.f64 x) B))) (cbrt.f64 (/.f64 (neg.f64 x) B)) (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (cbrt.f64 (/.f64 (-.f64 1 x) B))) (cbrt.f64 (/.f64 (-.f64 1 x) B)) (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 x) B)) (sqrt.f64 (/.f64 (neg.f64 x) B)) (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)) (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 B) 2) -1) (pow.f64 (cbrt.f64 B) -1) (-.f64 (.f64 (fma.f64 1/3 x 1/6) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 B) -1) (pow.f64 (sqrt.f64 B) -1) (-.f64 (.f64 (fma.f64 1/3 x 1/6) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (cbrt.f64 (pow.f64 (/.f64 x B) 2)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (-.f64 (sqrt.f64 (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B))) (sqrt.f64 (/.f64 x B))) (+.f64 (/.f64 (neg.f64 x) B) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (.f64 (fma.f64 1/3 x 1/6) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 x B) 2))) (cbrt.f64 (/.f64 x B)) (fma.f64 (fma.f64 1/3 x 1/6) B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/3 x 1/6) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/3 x 1/6) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/3 x 1/6) (sqrt.f64 B)) (sqrt.f64 B) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/3 x 1/6) (sqrt.f64 B)) (sqrt.f64 B) (.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2)) (cbrt.f64 (fma.f64 1/3 x 1/6)) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (pow.f64 (cbrt.f64 (fma.f64 1/3 x 1/6)) 2)) (cbrt.f64 (fma.f64 1/3 x 1/6)) (.f64 (/.f64 (-.f64 1 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (sqrt.f64 (fma.f64 1/3 x 1/6))) (sqrt.f64 (fma.f64 1/3 x 1/6)) (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 B (sqrt.f64 (fma.f64 1/3 x 1/6))) (sqrt.f64 (fma.f64 1/3 x 1/6)) (.f64 (/.f64 (-.f64 1 x) B) 1))))))

simplify451.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1235×	`fma-neg_binary64`
822×	`fma-def_binary64`
547×	`div-sub_binary64`
468×	`associate-/l*_binary64`
350×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	615
1	92	521
2	186	473
3	447	473
4	863	473
5	1723	473
6	3059	473
7	3797	473
8	4870	473
9	5325	473
10	5590	473
11	5614	473
12	6341	473
13	6371	473
14	6523	473
15	6749	473
16	7047	473
17	7089	473
18	7091	473
19	7093	473
20	7103	473
21	7103	473

Stop Event

1×

saturated

Counts

313 → 286

Calls

Call 1

Inputs
(*.f64 1/6 B)
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(.f64 1/3 (.f64 x B))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(.f64 1/3 (.f64 x B))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 1/3 (*.f64 x B)) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 1/3 (*.f64 x B)) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 1/3 (*.f64 x B)) (/.f64 1 B)))
(.f64 1/3 (.f64 x B))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(.f64 1/3 (.f64 x B))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(/.f64 1 B)
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(/.f64 (-.f64 1 x) B)
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))

Outputs
(*.f64 1/6 B)
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(.f64 1/3 (.f64 x B))
(.f64 1/3 (.f64 B x))
(.f64 x (.f64 B 1/3))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(.f64 1/3 (.f64 x B))
(.f64 1/3 (.f64 B x))
(.f64 x (.f64 B 1/3))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 1/6 B) (.f64 1/3 (*.f64 x B)))
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 1/3 (*.f64 x B)) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 1/3 (*.f64 x B)) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 1/3 (*.f64 x B)) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(.f64 1/3 (.f64 x B))
(.f64 1/3 (.f64 B x))
(.f64 x (.f64 B 1/3))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(.f64 1/3 (.f64 x B))
(.f64 1/3 (.f64 B x))
(.f64 x (.f64 B 1/3))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (/.f64 1 B) (.f64 1/3 (*.f64 x B))))
(fma.f64 1/6 B (fma.f64 1/3 (*.f64 B x) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 1 B))
(/.f64 1 B)
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(.f64 x (-.f64 (.f64 B 1/3) (/.f64 1 B)))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 (-.f64 (*.f64 1/3 B) (/.f64 1 B)) x) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(.f64 -1 (.f64 (+.f64 (*.f64 -1/3 B) (/.f64 1 B)) x))
(.f64 x (-.f64 (.f64 B 1/3) (/.f64 1 B)))
(*.f64 x (fma.f64 B 1/3 (/.f64 -1 B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/3 B) (/.f64 1 B)) x)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(/.f64 (-.f64 1 x) B)
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(.f64 (+.f64 1/6 (.f64 1/3 x)) B)
(fma.f64 1/6 B (.f64 1/3 (.f64 B x)))
(*.f64 B (fma.f64 1/3 x 1/6))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 (+.f64 1/6 (*.f64 1/3 x)) B) (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 (-.f64 (*.f64 B 1/3) (/.f64 1 B)) x (/.f64 1 B)))
(fma.f64 1/6 B (fma.f64 x (fma.f64 B 1/3 (/.f64 -1 B)) (/.f64 1 B)))
(fma.f64 B (fma.f64 1/3 x 1/6) (/.f64 (-.f64 1 x) B))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
✓	0.2b	(/.f64 (tan.f64 B) x)
✓	0.3b	(/.f64 1 (/.f64 (tan.f64 B) x))

Compiler

Compiled 38 to 18 computations (52.6% saved)

series9.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/.f64 (tan.f64 B) x)
1.0ms	B	@	inf	(/.f64 (tan.f64 B) x)
1.0ms	B	@	-inf	(/.f64 (tan.f64 B) x)
1.0ms	B	@	0	(/.f64 (tan.f64 B) x)
0.0ms	x	@	0	(/.f64 (tan.f64 B) x)

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`log-prod_binary64`
357×	`fma-def_binary64`
312×	`pow-prod-down_binary64`
264×	`pow2_binary64`
243×	`egg-rr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	224	24
2	3275	24

Stop Event

1×	node limit

Counts

3 → 364

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (tan.f64 B) x))
(/.f64 (tan.f64 B) x)
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (tan.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)) (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -2) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) -2) (/.f64 x (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tan.f64 B) -1/2) (/.f64 x (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1 (tan.f64 B))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 B)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))) (cbrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (/.f64 1 (tan.f64 B))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 B) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 B) x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 x (tan.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 x (tan.f64 B)))) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 B) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 B) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 B) x)) 2) (neg.f64 (cbrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (*.f64 (cbrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (sqrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 B) x)) (neg.f64 (sqrt.f64 (/.f64 (tan.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 B)) (*.f64 (sqrt.f64 (tan.f64 B)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (tan.f64 B) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 B)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (tan.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) 1) (/.f64 (cbrt.f64 (tan.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 B)) 1) (/.f64 (sqrt.f64 (tan.f64 B)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (tan.f64 B) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (tan.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (tan.f64 B)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -1/2) (/.f64 (tan.f64 B) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 B)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (tan.f64 B)) (sqrt.f64 x)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (tan.f64 B)) x (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (neg.f64 (tan.f64 B))) (neg.f64 x) 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(cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) 1) x (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x) (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -1 (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (cbrt.f64 (pow.f64 B -2))) (/.f64 1 (cbrt.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 1 (tan.f64 B)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (neg.f64 (pow.f64 B -1/2)) (pow.f64 B -1/2)))))))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

593×	`sub-neg_binary64`
424×	`distribute-neg-in_binary64`
408×	`cancel-sign-sub-inv_binary64`
391×	`distribute-rgt-neg-in_binary64`
388×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	1035
1	210	995
2	616	977
3	2578	975
4	6377	975

Stop Event

1×	node limit

Counts

436 → 395

Calls

Call 1

Inputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 x B)
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x)))
(+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B)))
(fma.f64 -1/3 (*.f64 x B) (/.f64 x B))
(fma.f64 x (*.f64 B -1/3) (/.f64 x B))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 B x))))
(fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (.f64 x B))))
(-.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (.f64 (*.f64 x 1/45) (pow.f64 B 3)))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 x (.f64 B -1/3) (/.f64 x B)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -2/45 x) (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))))) (pow.f64 B 5))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3))) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 B x)))))
(fma.f64 -1 (.f64 (pow.f64 B 5) (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45)))) (fma.f64 -1 (.f64 (.f64 x 1/45) (pow.f64 B 3)) (+.f64 (/.f64 x B) (.f64 -1/3 (*.f64 x B)))))
(+.f64 (fma.f64 -1/3 (.f64 x B) (/.f64 x B)) (neg.f64 (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (.f64 (pow.f64 B 5) (+.f64 (.f64 x -1/135) (*.f64 x 1/105))))))
(-.f64 (fma.f64 x (.f64 B -1/3) (/.f64 x B)) (fma.f64 (pow.f64 B 5) (.f64 x 2/945) (.f64 1/45 (.f64 x (pow.f64 B 3)))))
(fma.f64 (pow.f64 B 3) (.f64 x -1/45) (fma.f64 (pow.f64 B 5) (.f64 x -2/945) (fma.f64 x (*.f64 B -1/3) (/.f64 x B))))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))
(/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x)
(*.f64 x (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 B x)
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 B 3) x)) (/.f64 B x))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (/.f64 B x)))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (/.f64 B x)))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 B 3) x)) (+.f64 (.f64 2/15 (/.f64 (pow.f64 B 5) x)) (+.f64 (/.f64 B x) (*.f64 17/315 (/.f64 (pow.f64 B 7) x)))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (+.f64 (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (/.f64 B x)) (*.f64 17/315 (/.f64 (pow.f64 B 7) x))))
(fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(fma.f64 2/15 (/.f64 (pow.f64 B 5) x) (fma.f64 1/3 (/.f64 (pow.f64 B 3) x) (fma.f64 17/315 (/.f64 (pow.f64 B 7) x) (/.f64 B x))))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (sin.f64 B) (*.f64 (cos.f64 B) x))
(/.f64 (sin.f64 B) (*.f64 x (cos.f64 B)))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 (.f64 x B) 1/3) (/.f64 (-.f64 1 x) B))
(fma.f64 (*.f64 x B) 1/3 (/.f64 (-.f64 1 x) B))
(fma.f64 x (*.f64 B 1/3) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (*.f64 2/15 x)) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (.f64 x B) (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (/.f64 1 B))) (/.f64 x B))
(+.f64 (fma.f64 (.f64 x B) 1/3 (.f64 (*.f64 x 1/45) (pow.f64 B 3))) (/.f64 (-.f64 1 x) B))
(fma.f64 x (.f64 B 1/3) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (+.f64 (.f64 (+.f64 (.f64 -1/9 x) (.f64 2/15 x)) (pow.f64 B 3)) (+.f64 (.f64 (+.f64 (.f64 17/315 x) (+.f64 (.f64 -1/3 (+.f64 (.f64 -1/9 x) (.f64 2/15 x))) (*.f64 -2/45 x))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 1/3 (.f64 x B) (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (fma.f64 (fma.f64 17/315 x (fma.f64 -1/3 (.f64 x 1/45) (.f64 x -2/45))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (.f64 x B) 1/3 (+.f64 (fma.f64 (.f64 x 1/45) (pow.f64 B 3) (.f64 (pow.f64 B 5) (+.f64 (.f64 x -1/135) (*.f64 x 1/105)))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 (pow.f64 B 5) (.f64 x 2/945) (.f64 1/45 (.f64 x (pow.f64 B 3)))) (fma.f64 x (.f64 B 1/3) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 x (.f64 B 1/3) (/.f64 (-.f64 1 x) B)) (fma.f64 x (.f64 (pow.f64 B 3) 1/45) (.f64 (pow.f64 B 5) (.f64 x 2/945))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(/.f64 1 B)
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))) (/.f64 1 B))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))) x)
(*.f64 (neg.f64 (/.f64 x (sin.f64 B))) (cos.f64 B))
(*.f64 (cos.f64 B) (neg.f64 (/.f64 x (sin.f64 B))))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))
(+.f64 (/.f64 1 B) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(fma.f64 -1 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)) (/.f64 1 B))
(-.f64 (/.f64 1 B) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 B) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(neg.f64 (fma.f64 (/.f64 x (sin.f64 B)) (cos.f64 B) (/.f64 -1 B)))

localize45.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))
	0.1b	(*.f64 (cos.f64 B) x)
✓	0.2b	(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))

Compiler

Compiled 39 to 16 computations (59% saved)

series9.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	B	@	0	(/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))
1.0ms	B	@	0	(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))
1.0ms	x	@	inf	(/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))
1.0ms	B	@	-inf	(/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))
1.0ms	x	@	0	(/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`log-prod_binary64`
466×	`prod-diff_binary64`
310×	`pow-prod-down_binary64`
282×	`pow2_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	217	28
2	2921	28

Stop Event

1×	node limit

Counts

2 → 109

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))
(/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))

Outputs

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(log1p.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (/.f64 1 (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 2) (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 2)) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 (neg.f64 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (sqrt.f64 (sin.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (*.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sin.f64 B)) 1 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (*.f64 (*.f64 (cos.f64 B) (neg.f64 x)) (/.f64 1 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 B) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) 2) (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (*.f64 (cbrt.f64 (sin.f64 B)) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) (sqrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 B)) (*.f64 (sqrt.f64 (sin.f64 B)) (/.f64 1 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 B)) (/.f64 1 (neg.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (*.f64 (cos.f64 B) x))) (sin.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) 1) (/.f64 (sqrt.f64 (sin.f64 B)) (-.f64 1 (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) -2) (/.f64 (sin.f64 B) (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 2))) (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 2))) (/.f64 (sqrt.f64 (sin.f64 B)) (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) -1/2) (/.f64 (sin.f64 B) (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) 2) (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))) (/.f64 (cbrt.f64 (sin.f64 B)) (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 B) (-.f64 1 (pow.f64 (*.f64 (cos.f64 B) x) 3))) (fma.f64 (*.f64 (cos.f64 B) x) (fma.f64 (cos.f64 B) x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 B) (-.f64 1 (pow.f64 (*.f64 (cos.f64 B) x) 2))) (fma.f64 (cos.f64 B) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 B) (neg.f64 (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 B) 3) (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))) 2))))))

simplify172.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

624×	`fma-def_binary64`
325×	`unswap-sqr_binary64`
323×	`associate-l_binary64`
313×	`associate-r_binary64`
305×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1295
1	394	1246
2	1273	1228
3	6318	1228

Stop Event

1×	node limit

Counts

149 → 144

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x))) B) (+.f64 (.f64 (-.f64 (.f64 1/720 x) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 B (-.f64 1 x))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (-.f64 1 x))) (.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 B 3))) (/.f64 B (-.f64 1 x)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (-.f64 1 x))) (+.f64 (.f64 -1/24 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (-.f64 1 x))) (.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) x) (-.f64 1 x))))) (pow.f64 B 5)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (-.f64 1 x))) (*.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 B 3))) (/.f64 B (-.f64 1 x))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (-.f64 1 x))) (+.f64 (.f64 -1/24 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (-.f64 1 x))) (.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) x) (-.f64 1 x))))) (pow.f64 B 5)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 1 (-.f64 1 x))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2))) (.f64 1/6 (/.f64 1 (-.f64 1 x)))) x) (-.f64 1 x))) (.f64 -1/24 (/.f64 x (pow.f64 (-.f64 1 x) 2))))) x) (-.f64 1 x))) (+.f64 (.f64 1/24 (/.f64 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (-.f64 1 x))) (.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) x) (-.f64 1 x))) (+.f64 (.f64 1/5040 (/.f64 1 (-.f64 1 x))) (.f64 1/720 (/.f64 x (pow.f64 (-.f64 1 x) 2)))))) (pow.f64 B 7))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (/.f64 1 (-.f64 1 x))) (*.f64 1/2 (/.f64 x (pow.f64 (-.f64 1 x) 2)))) (pow.f64 B 3))) (/.f64 B (-.f64 1 x)))))
(sin.f64 B)
(+.f64 (sin.f64 B) (.f64 (sin.f64 B) (.f64 (cos.f64 B) x)))
(+.f64 (sin.f64 B) (+.f64 (.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))) (.f64 (sin.f64 B) (.f64 (cos.f64 B) x))))
(+.f64 (sin.f64 B) (+.f64 (.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))) (+.f64 (.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))) (.f64 (sin.f64 B) (.f64 (cos.f64 B) x)))))
(.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x)))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))))
(.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x)))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))))

Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 (.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 x -1/6))) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (fma.f64 x -1/24 (.f64 (-.f64 1 x) -1/120)) (+.f64 (.f64 (-.f64 1 x) -1/36) (.f64 x -1/12))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (.f64 -1/6 x))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (fma.f64 x -1/24 (+.f64 -1/120 (.f64 x 1/120))) (+.f64 (.f64 (-.f64 1 x) -1/36) (.f64 x -1/12))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (.f64 x -1/6))) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x))) B) (+.f64 (.f64 (-.f64 (.f64 1/720 x) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) B (fma.f64 (-.f64 (.f64 x 1/720) (fma.f64 1/120 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (fma.f64 -1/6 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (.f64 (-.f64 1 x) 1/120))) (.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
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(-.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 B) x)) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) x) (*.f64 x (pow.f64 (cos.f64 B) 2))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (sin.f64 B) (.f64 x (cos.f64 B))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (*.f64 x x))))))
(-.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (pow.f64 (cos.f64 B) 2)))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))))
(-.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 B) x)) (cos.f64 B)) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (*.f64 x (pow.f64 (cos.f64 B) 2))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (pow.f64 (cos.f64 B) 3))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))) (fma.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (sin.f64 B) (.f64 x (cos.f64 B))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (.f64 x x)))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (pow.f64 (cos.f64 B) 2)))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 B)) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (pow.f64 (cos.f64 B) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) x) (.f64 x (pow.f64 (cos.f64 B) 2)))))
(-.f64 (/.f64 (neg.f64 (sin.f64 B)) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (.f64 x (pow.f64 (cos.f64 B) 2))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (pow.f64 (cos.f64 B) 3)))))
(.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x)))
(neg.f64 (/.f64 (sin.f64 B) (*.f64 x (cos.f64 B))))
(/.f64 (neg.f64 (sin.f64 B)) (*.f64 x (cos.f64 B)))
(/.f64 (neg.f64 (/.f64 (sin.f64 B) x)) (cos.f64 B))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))
(.f64 -1 (+.f64 (/.f64 (sin.f64 B) (.f64 x (cos.f64 B))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (.f64 x x)))))
(neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) (*.f64 x x)) (pow.f64 (cos.f64 B) 2))))
(-.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 B) x)) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) x) (*.f64 x (pow.f64 (cos.f64 B) 2))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2))))))
(fma.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (sin.f64 B) (.f64 x (cos.f64 B))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (*.f64 x x))))))
(-.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (pow.f64 (cos.f64 B) 2)))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))))
(-.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 B) x)) (cos.f64 B)) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (*.f64 x (pow.f64 (cos.f64 B) 2))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (pow.f64 (cos.f64 B) 3))))
(+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 B) (.f64 (cos.f64 B) x))) (.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (pow.f64 x 2)))))))
(fma.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))) (fma.f64 -1 (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (sin.f64 B) (.f64 x (cos.f64 B))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 2) (.f64 x x)))))))
(-.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) (.f64 x x)) (pow.f64 (cos.f64 B) 2)))) (/.f64 (sin.f64 B) (.f64 (pow.f64 (cos.f64 B) 3) (pow.f64 x 3)))) (/.f64 (sin.f64 B) (*.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 B)) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (pow.f64 (cos.f64 B) 3))) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (/.f64 (/.f64 (sin.f64 B) x) (.f64 x (pow.f64 (cos.f64 B) 2)))))
(-.f64 (/.f64 (neg.f64 (sin.f64 B)) (.f64 (pow.f64 (cos.f64 B) 4) (pow.f64 x 4))) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (cos.f64 B)) (+.f64 (/.f64 (/.f64 (sin.f64 B) x) (.f64 x (pow.f64 (cos.f64 B) 2))) (/.f64 (/.f64 (sin.f64 B) (pow.f64 x 3)) (pow.f64 (cos.f64 B) 3)))))

eval842.0ms (6.6%)

Compiler: Compiled 19659 to 11189 computations (43.1% saved)

prune209.0ms (1.6%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1016	11	1027
Fresh	5	8	13
Picked	0	1	1
Done	2	4	6
Total	1023	24	1047

Error

Counts

1047 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(-.f64 (/.f64 1 B) (/.f64 x B))
	36.0b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	0.3b	(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
▶	27.6b	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
	16.3b	(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 x)))
✓	0.3b	(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))
✓	16.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	24.3b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (sin.f64 B)) (tan.f64 B))
▶	33.3b	(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
	17.7b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
	53.1b	(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
	36.0b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	43.2b	(/.f64 1 B)
	33.5b	(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
	32.3b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) -3)))
✓	33.3b	(/.f64 (-.f64 1 x) B)
	16.3b	(+.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))) (/.f64 1 B))
✓	16.3b	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
▶	0.2b	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
	47.3b	(log.f64 (/.f64 1 (exp.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))
	53.1b	(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
▶	15.0b	(/.f64 (-.f64 1 x) (tan.f64 B))
	27.6b	(/.f64 1 (sin.f64 B))
	33.3b	(/.f64 1 (/.f64 B (-.f64 1 x)))

Compiler

Compiled 489 to 359 computations (26.6% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (cos.f64 B) x)
✓	0.2b	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

Compiler

Compiled 28 to 11 computations (60.7% saved)

series2.0ms (0%)

Counts

1 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.0ms	B	@	inf	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.0ms	x	@	inf	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.0ms	x	@	0	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
0.0ms	x	@	-inf	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`prod-diff_binary64`
496×	`log-prod_binary64`
385×	`exp-prod_binary64`
273×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	191	14
2	2591	14

Stop Event

1×	node limit

Counts

1 → 98

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (tan.f64 B)))) (sqrt.f64 (/.f64 x (tan.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 x (sqrt.f64 (sin.f64 B)))) (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 (cos.f64 B) (sqrt.f64 (sin.f64 B)))) (/.f64 x (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B)))) (/.f64 (sqrt.f64 (*.f64 (cos.f64 B) x)) (sqrt.f64 (sin.f64 B))) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 (/.f64 x (tan.f64 B)) 1))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (*.f64 (/.f64 x (tan.f64 B)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (*.f64 (/.f64 x (tan.f64 B)) 1))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (*.f64 (/.f64 x (tan.f64 B)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (*.f64 (/.f64 x (tan.f64 B)) 1))) (fma.f64 (neg.f64 (/.f64 x (tan.f64 B))) 1 (*.f64 (/.f64 x (tan.f64 B)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x)))) (fma.f64 (neg.f64 (/.f64 1 (sin.f64 B))) (*.f64 (cos.f64 B) x) (*.f64 (/.f64 1 (sin.f64 B)) (*.f64 (cos.f64 B) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (tan.f64 B)))) (pow.f64 (cbrt.f64 (/.f64 x (tan.f64 B))) 2) (*.f64 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B)) (-.f64 1 (*.f64 (cos.f64 B) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) 1) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (sin.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -2) (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) 2) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (pow.f64 (cbrt.f64 (sin.f64 B)) 2)) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 (cos.f64 B) x))) (cbrt.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (neg.f64 (sin.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) 3) (pow.f64 (sin.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (sin.f64 B))) 2) (cbrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (sin.f64 B))) (sqrt.f64 (/.f64 1 (sin.f64 B))) (neg.f64 (/.f64 x (tan.f64 B))))))))

simplify70.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

765×	`unsub-neg_binary64`
680×	`associate-+r+_binary64`
530×	`sub-neg_binary64`
390×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	442
1	137	404
2	394	400
3	1692	338
4	6353	338

Stop Event

1×	node limit

Counts

114 → 110

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x))) B) (+.f64 (.f64 (-.f64 (.f64 1/720 x) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))

Outputs
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 B (+.f64 (.f64 x 1/2) (*.f64 1/6 (-.f64 1 x)))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (*.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B))
(fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (*.f64 -1/6 (-.f64 1 x))) B) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) B (/.f64 1 B))) (/.f64 x B))
(fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (-.f64 (fma.f64 x -1/24 (.f64 (-.f64 1 x) -1/120)) (.f64 x -1/12)) (.f64 (-.f64 1 x) -1/36)) (pow.f64 B 3) (fma.f64 B (fma.f64 x 1/2 (+.f64 1/6 (.f64 -1/6 x))) (/.f64 (-.f64 1 x) B)))
(fma.f64 (-.f64 (.f64 x 1/24) (.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)))
(fma.f64 (+.f64 (.f64 x 1/24) (.f64 (+.f64 x -1) -7/360)) (pow.f64 B 3) (fma.f64 B (+.f64 1/6 (*.f64 x 1/3)) (/.f64 (-.f64 1 x) B)))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x)))) (pow.f64 B 3)) (+.f64 (.f64 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x))) B) (+.f64 (.f64 (-.f64 (.f64 1/720 x) (+.f64 (.f64 1/120 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (+.f64 (.f64 -1/6 (-.f64 (.f64 -1/24 x) (+.f64 (.f64 -1/6 (-.f64 (.f64 1/2 x) (.f64 -1/6 (-.f64 1 x)))) (.f64 1/120 (-.f64 1 x))))) (*.f64 -1/5040 (-.f64 1 x))))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (fma.f64 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) B (fma.f64 (-.f64 (.f64 x 1/720) (fma.f64 1/120 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (fma.f64 -1/6 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (+.f64 (.f64 x 1/2) (.f64 1/6 (-.f64 1 x))) (.f64 (-.f64 1 x) 1/120))) (.f64 (-.f64 1 x) -1/5040)))) (pow.f64 B 5) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (.f64 (-.f64 1 x) 1/120))) (pow.f64 B 3) (+.f64 (fma.f64 B (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (.f64 (-.f64 (.f64 x 1/720) (fma.f64 (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) 1/120 (fma.f64 (-.f64 1 x) -1/5040 (.f64 -1/6 (-.f64 (.f64 x -1/24) (fma.f64 -1/6 (fma.f64 x 1/2 (.f64 (-.f64 1 x) 1/6)) (*.f64 (-.f64 1 x) 1/120))))))) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B)))
(+.f64 (fma.f64 (-.f64 (-.f64 (fma.f64 x -1/24 (.f64 (-.f64 1 x) -1/120)) (.f64 x -1/12)) (.f64 (-.f64 1 x) -1/36)) (pow.f64 B 3) (fma.f64 (-.f64 (.f64 x 1/720) (fma.f64 (-.f64 1 x) -1/5040 (fma.f64 -1/6 (-.f64 (-.f64 (fma.f64 x -1/24 (.f64 (-.f64 1 x) -1/120)) (.f64 x -1/12)) (.f64 (-.f64 1 x) -1/36)) (+.f64 (.f64 x 1/240) (.f64 (-.f64 1 x) 1/720))))) (pow.f64 B 5) (.f64 B (fma.f64 x 1/2 (+.f64 1/6 (*.f64 -1/6 x)))))) (/.f64 (-.f64 1 x) B))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (-.f64 (.f64 x 1/24) (.f64 (-.f64 1 x) -7/360)) (pow.f64 B 3) (fma.f64 (+.f64 (-.f64 (.f64 x -1/360) (.f64 (-.f64 1 x) 1/840)) (.f64 (-.f64 (.f64 x 1/24) (.f64 (-.f64 1 x) -7/360)) 1/6)) (pow.f64 B 5) (.f64 B (+.f64 1/6 (*.f64 x 1/3))))))
(+.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (+.f64 (.f64 x 1/24) (.f64 (+.f64 x -1) -7/360)) (pow.f64 B 3) (fma.f64 (+.f64 (+.f64 (.f64 x -1/360) (.f64 (+.f64 x -1) 1/840)) (.f64 (+.f64 (.f64 x 1/24) (.f64 (+.f64 x -1) -7/360)) 1/6)) (pow.f64 B 5) (.f64 B (+.f64 1/6 (*.f64 x 1/3))))))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(*.f64 x (neg.f64 (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 1 (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(-.f64 (/.f64 1 (sin.f64 B)) (*.f64 x (/.f64 (cos.f64 B) (sin.f64 B))))

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 B) (/.f64 x B))

Compiler

Compiled 18 to 9 computations (50% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (/.f64 1 B) (/.f64 x B))
1.0ms	B	@	0	(-.f64 (/.f64 1 B) (/.f64 x B))
1.0ms	B	@	-inf	(-.f64 (/.f64 1 B) (/.f64 x B))
1.0ms	B	@	inf	(-.f64 (/.f64 1 B) (/.f64 x B))
1.0ms	x	@	inf	(-.f64 (/.f64 1 B) (/.f64 x B))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
889×	`add-log-exp_binary64`
889×	`log1p-expm1-u_binary64`
889×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	158	7
2	2402	7

Stop Event

1×	node limit

Counts

1 → 56

Calls

Call 1

Inputs
(-.f64 (/.f64 1 B) (/.f64 x B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 B) (*.f64 (/.f64 (neg.f64 x) B) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (/.f64 (neg.f64 x) B) 1 (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (/.f64 1 B)) x (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x B))) (pow.f64 (cbrt.f64 (/.f64 x B)) 2) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 1 x) B) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x B))) (sqrt.f64 (/.f64 x B)) (/.f64 x B)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 x) B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 B) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 2) (cbrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) (sqrt.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 B (*.f64 B x)) (pow.f64 B -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 B -3) (pow.f64 (/.f64 x B) 3)) (/.f64 1 (+.f64 (pow.f64 B -2) (*.f64 (/.f64 x B) (*.f64 (/.f64 1 B) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 B -2) (pow.f64 (/.f64 x B) 2)) (/.f64 1 (*.f64 (/.f64 1 B) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))) (-.f64 (pow.f64 B -1/2) (sqrt.f64 (/.f64 x B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 B B) (-.f64 B (*.f64 B x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 B (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 B -2) (*.f64 (/.f64 x B) (*.f64 (/.f64 1 B) (+.f64 1 x)))) (-.f64 (pow.f64 B -3) (pow.f64 (/.f64 x B) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (/.f64 1 B) (+.f64 1 x)) (-.f64 (pow.f64 B -2) (pow.f64 (/.f64 x B) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 B (*.f64 B x)) (*.f64 B B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 x) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 B -3) (pow.f64 (/.f64 x B) 3)) (+.f64 (pow.f64 B -2) (*.f64 (/.f64 x B) (*.f64 (/.f64 1 B) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 B -2) (pow.f64 (/.f64 x B) 2)) (*.f64 (/.f64 1 B) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 B (*.f64 B x))) (neg.f64 (*.f64 B B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 x)) (neg.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 B -3) (pow.f64 (/.f64 x B) 3))) (neg.f64 (+.f64 (pow.f64 B -2) (*.f64 (/.f64 x B) (*.f64 (/.f64 1 B) (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 B -2) (pow.f64 (/.f64 x B) 2))) (neg.f64 (*.f64 (/.f64 1 B) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (/.f64 B x)) (*.f64 (neg.f64 B) 1)) (*.f64 (neg.f64 B) (/.f64 B x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 B) (*.f64 (neg.f64 B) x)) (*.f64 (neg.f64 B) B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 B) (*.f64 B (neg.f64 x))) (*.f64 B (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 B)) (*.f64 (neg.f64 B) (neg.f64 x))) (*.f64 (neg.f64 B) (neg.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 -1 (neg.f64 x)) (neg.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 B -3) (pow.f64 (/.f64 (neg.f64 x) B) 3)) (+.f64 (pow.f64 B -2) (-.f64 (*.f64 (/.f64 (neg.f64 x) B) (/.f64 (neg.f64 x) B)) (*.f64 (/.f64 1 B) (/.f64 (neg.f64 x) B)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 B -2) (*.f64 (/.f64 (neg.f64 x) B) (/.f64 (neg.f64 x) B))) (-.f64 (/.f64 1 B) (/.f64 (neg.f64 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 B (*.f64 B x)) B) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) 1) B)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 1 x) (sqrt.f64 B)) (sqrt.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) B) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) B)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) B)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 x) B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) B) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) B)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 B) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 B -2)) (/.f64 1 (cbrt.f64 B)) (/.f64 (neg.f64 x) B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (pow.f64 B -1/2) (/.f64 (neg.f64 x) B))))))

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

135×	`fma-def_binary64`
118×	`fma-neg_binary64`
27×	`div-sub_binary64`
25×	`cancel-sign-sub-inv_binary64`
21×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Stop Event

1×

saturated

Counts

80 → 61

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(*.f64 -1 (/.f64 x B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))

Outputs
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (-.f64 1 x) B)
(/.f64 (+.f64 1 (*.f64 -1 x)) B)
(/.f64 (-.f64 1 x) B)
(/.f64 1 B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(*.f64 -1 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)
(+.f64 (*.f64 -1 (/.f64 x B)) (/.f64 1 B))
(/.f64 (-.f64 1 x) B)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/6 B) (/.f64 1 B))
✓	0.0b	(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
✓	0.3b	(*.f64 1/6 B)

Compiler

Compiled 33 to 20 computations (39.4% saved)

series4.0ms (0%)

Counts

3 → 21

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	B	@	0	(*.f64 1/6 B)
0.0ms	B	@	inf	(*.f64 1/6 B)
0.0ms	B	@	-inf	(*.f64 1/6 B)
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
0.0ms	B	@	-inf	(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`fma-def_binary64`
540×	`log-prod_binary64`
401×	`pow-prod-down_binary64`
313×	`fma-neg_binary64`
296×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	227	23
2	3409	23

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

Inputs
(*.f64 1/6 B)
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 B (/.f64 1 B)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/36 (*.f64 B B)) (-.f64 (*.f64 1/6 B) (/.f64 1 B))) (/.f64 (pow.f64 B -2) (-.f64 (*.f64 1/6 B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/6 B (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/6 B (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (pow.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 2) (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3)) (/.f64 1 (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2)) (/.f64 1 (-.f64 (*.f64 1/6 B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B)) (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 1/6 B) (/.f64 1 B)) (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3)) (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3)) (+.f64 (pow.f64 B -2) (-.f64 (*.f64 1/36 (*.f64 B B)) (/.f64 (*.f64 1/6 B) B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2)) (-.f64 (*.f64 1/6 B) (/.f64 1 B)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3))) (neg.f64 (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2))) (neg.f64 (-.f64 (*.f64 1/6 B) (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 B -2) (*.f64 1/36 (*.f64 B B))) (-.f64 (/.f64 1 B) (*.f64 1/6 B)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/6 B (/.f64 1 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 1/36 (*.f64 B B) (pow.f64 B -2)) (/.f64 (*.f64 1/6 B) B)) (fma.f64 1/216 (pow.f64 B 3) (pow.f64 B -3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 1/6 B) (/.f64 1 B)) (-.f64 (*.f64 1/36 (*.f64 B B)) (pow.f64 B -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 B (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 B))) (exp.f64 (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 B) 1/6) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 B))) (+.f64 1 (expm1.f64 (/.f64 1 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (pow.f64 (exp.f64 B) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 1 B)) (+.f64 1 (expm1.f64 (*.f64 1/6 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 B))) (+.f64 1 (expm1.f64 (*.f64 1/6 B)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 B (/.f64 1 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/6 B (/.f64 1 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/6 B (/.f64 1 B))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 B (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 B 1/6 (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 B) 1 (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 B) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 B) 1 (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -1) (cbrt.f64 (pow.f64 B -2)) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 B -2)) (pow.f64 (cbrt.f64 B) -1) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) 2) (*.f64 (cbrt.f64 B) 1/6) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/6 B)) (pow.f64 (cbrt.f64 (*.f64 1/6 B)) 2) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 1/6 B)) 2) (cbrt.f64 (*.f64 1/6 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 B -1/2) (pow.f64 B -1/2) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 B) (*.f64 (sqrt.f64 B) 1/6) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/6 B)) (sqrt.f64 (*.f64 1/6 B)) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 1 (neg.f64 B)) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 B) -2) (pow.f64 (cbrt.f64 B) -1) (*.f64 1/6 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (pow.f64 (cbrt.f64 B) 2)) (cbrt.f64 B) (/.f64 1 B))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (sqrt.f64 B)) (sqrt.f64 B) (/.f64 1 B))))))

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-neg_binary64`
395×	`fma-def_binary64`
146×	`div-sub_binary64`
124×	`associate-/l*_binary64`
105×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	227
1	38	179
2	58	179
3	85	179
4	136	179
5	218	179
6	403	179
7	705	179
8	1148	179
9	1753	179
10	2043	179
11	2376	179
12	2456	179
13	2528	179
14	2582	179

Stop Event

1×

saturated

Counts

250 → 238

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) B)
(*.f64 1/6 B)
(*.f64 1/6 B)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(*.f64 -1 (/.f64 x B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(/.f64 1 B)
(*.f64 1/6 B)
(*.f64 1/6 B)

Outputs
(/.f64 (-.f64 1 x) B)
(*.f64 1/6 B)
(*.f64 B 1/6)
(*.f64 1/6 B)
(*.f64 B 1/6)
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 -1 (/.f64 x B)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(/.f64 x (neg.f64 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(*.f64 -1 (/.f64 x B))
(neg.f64 (/.f64 x B))
(/.f64 (neg.f64 x) B)
(/.f64 x (neg.f64 B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(+.f64 (.f64 1/6 B) (+.f64 (.f64 -1 (/.f64 x B)) (/.f64 1 B)))
(fma.f64 -1 (/.f64 x B) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 B 1/6 (/.f64 (-.f64 1 x) B))
(/.f64 1 B)
(*.f64 1/6 B)
(*.f64 B 1/6)
(*.f64 1/6 B)
(*.f64 B 1/6)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 1 x) (tan.f64 B))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series13.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	B	@	inf	(/.f64 (-.f64 1 x) (tan.f64 B))
1.0ms	B	@	-inf	(/.f64 (-.f64 1 x) (tan.f64 B))
1.0ms	B	@	0	(/.f64 (-.f64 1 x) (tan.f64 B))
1.0ms	x	@	0	(/.f64 (-.f64 1 x) (tan.f64 B))
1.0ms	x	@	inf	(/.f64 (-.f64 1 x) (tan.f64 B))

rewrite51.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
797×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	152	9
2	2076	9

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(/.f64 (-.f64 1 x) (tan.f64 B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (tan.f64 B)) (neg.f64 (/.f64 x (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (tan.f64 B)) (/.f64 x (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (-.f64 1 x) (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 1 x) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 x) (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (*.f64 (cbrt.f64 (-.f64 1 x)) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))) (sqrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 x)) (*.f64 (sqrt.f64 (-.f64 1 x)) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 1 x)) (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (-.f64 1 x)) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) 1) (/.f64 (sqrt.f64 (-.f64 1 x)) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (-.f64 1 x) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (sqrt.f64 (-.f64 1 x)) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 (-.f64 1 x) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (sqrt.f64 (tan.f64 B))) (/.f64 (cbrt.f64 (-.f64 1 x)) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 x) (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 x) (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 1 x) (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 B) (-.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 1 x) (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (tan.f64 B)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 1 x) (tan.f64 B))))))))

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-rgt-in_binary64`
669×	`distribute-lft-in_binary64`
614×	`fma-neg_binary64`
547×	`cancel-sign-sub-inv_binary64`
367×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	556
1	140	507
2	470	486
3	2257	361

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

Inputs
(/.f64 (cos.f64 B) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (-.f64 1 x)) (.f64 -1/9 (-.f64 1 x))) (pow.f64 B 3))) (/.f64 1 B))) (/.f64 x B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (-.f64 1 x)) (.f64 -1/9 (-.f64 1 x))) (pow.f64 B 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2/45 (-.f64 1 x)) (+.f64 (.f64 17/315 (-.f64 1 x)) (.f64 -1/3 (+.f64 (.f64 2/15 (-.f64 1 x)) (*.f64 -1/9 (-.f64 1 x)))))) (pow.f64 B 5))) (/.f64 1 B)))) (/.f64 x B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))

Outputs
(/.f64 (cos.f64 B) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B)))
(neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x)))
(/.f64 (*.f64 (neg.f64 x) (cos.f64 B)) (sin.f64 B))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (.f64 -1 (/.f64 (.f64 (cos.f64 B) x) (sin.f64 B))))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (-.f64 1 x) B)
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 (-.f64 1 x) B))
(fma.f64 (*.f64 B -1/3) (-.f64 1 x) (/.f64 (-.f64 1 x) B))
(fma.f64 B (*.f64 (-.f64 1 x) -1/3) (/.f64 (-.f64 1 x) B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (-.f64 1 x)) (.f64 -1/9 (-.f64 1 x))) (pow.f64 B 3))) (/.f64 1 B))) (/.f64 x B))
(-.f64 (fma.f64 -1/3 (.f64 B (-.f64 1 x)) (fma.f64 -1 (.f64 (*.f64 (-.f64 1 x) 1/45) (pow.f64 B 3)) (/.f64 1 B))) (/.f64 x B))
(fma.f64 -1/3 (.f64 B (-.f64 1 x)) (+.f64 (.f64 (*.f64 (-.f64 1 x) 1/45) (neg.f64 (pow.f64 B 3))) (/.f64 (-.f64 1 x) B)))
(+.f64 (/.f64 (-.f64 1 x) B) (.f64 (-.f64 1 x) (-.f64 (.f64 B -1/3) (*.f64 (pow.f64 B 3) 1/45))))
(+.f64 (/.f64 (-.f64 1 x) B) (.f64 (-.f64 1 x) (fma.f64 B -1/3 (.f64 (pow.f64 B 3) -1/45))))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 2/15 (-.f64 1 x)) (.f64 -1/9 (-.f64 1 x))) (pow.f64 B 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -2/45 (-.f64 1 x)) (+.f64 (.f64 17/315 (-.f64 1 x)) (.f64 -1/3 (+.f64 (.f64 2/15 (-.f64 1 x)) (*.f64 -1/9 (-.f64 1 x)))))) (pow.f64 B 5))) (/.f64 1 B)))) (/.f64 x B))
(-.f64 (fma.f64 -1/3 (.f64 B (-.f64 1 x)) (fma.f64 -1 (.f64 (.f64 (-.f64 1 x) 1/45) (pow.f64 B 3)) (fma.f64 -1 (.f64 (fma.f64 -2/45 (-.f64 1 x) (fma.f64 17/315 (-.f64 1 x) (.f64 -1/3 (.f64 (-.f64 1 x) 1/45)))) (pow.f64 B 5)) (/.f64 1 B)))) (/.f64 x B))
(fma.f64 -1/3 (.f64 B (-.f64 1 x)) (+.f64 (fma.f64 (neg.f64 (.f64 (-.f64 1 x) 1/45)) (pow.f64 B 3) (.f64 (+.f64 (.f64 (-.f64 1 x) -1/135) (*.f64 (-.f64 1 x) 1/105)) (neg.f64 (pow.f64 B 5)))) (/.f64 (-.f64 1 x) B)))
(+.f64 (-.f64 (.f64 (-.f64 1 x) (-.f64 (.f64 B -1/3) (.f64 (pow.f64 B 3) 1/45))) (.f64 (*.f64 (-.f64 1 x) 2/945) (pow.f64 B 5))) (/.f64 (-.f64 1 x) B))
(+.f64 (fma.f64 (-.f64 1 x) (fma.f64 B -1/3 (.f64 (pow.f64 B 3) -1/45)) (.f64 (pow.f64 B 5) (*.f64 (-.f64 1 x) -2/945))) (/.f64 (-.f64 1 x) B))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))
(/.f64 (*.f64 (cos.f64 B) (-.f64 1 x)) (sin.f64 B))
(+.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (neg.f64 (/.f64 (cos.f64 B) (/.f64 (sin.f64 B) x))))
(-.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) x))
(*.f64 (/.f64 (cos.f64 B) (sin.f64 B)) (-.f64 1 x))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (cos.f64 B))
✓	0.2b	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))

Compiler

Compiled 19 to 10 computations (47.4% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	B	@	inf	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
1.0ms	B	@	-inf	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
1.0ms	B	@	-inf	(/.f64 1 (cos.f64 B))
0.0ms	B	@	inf	(/.f64 1 (cos.f64 B))
0.0ms	B	@	0	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
661×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	146	17
2	1893	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(/.f64 1 (cos.f64 B))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 B)) (/.f64 1 (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 B) -2)) (*.f64 (/.f64 1 (cbrt.f64 (cos.f64 B))) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))) 2) (cbrt.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 B) -1/2) (*.f64 (pow.f64 (cos.f64 B) -1/2) (/.f64 1 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 (tan.f64 B))) (/.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cos.f64 B)) (/.f64 1 (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 B)) (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 B) -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 B))) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 B) -1/2) 1) (/.f64 (pow.f64 (cos.f64 B) -1/2) (tan.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (/.f64 1 (cos.f64 B)) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 B) -2)) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (cbrt.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cos.f64 B) -1/2) (pow.f64 (cbrt.f64 (tan.f64 B)) 2)) (/.f64 (pow.f64 (cos.f64 B) -1/2) (cbrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 B))) (/.f64 (/.f64 1 (cos.f64 B)) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (cos.f64 B) -2)) (sqrt.f64 (tan.f64 B))) (/.f64 (/.f64 1 (cbrt.f64 (cos.f64 B))) (sqrt.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (cos.f64 B)) (sin.f64 B)) (cos.f64 B))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cos.f64 B) -1/2) (sqrt.f64 (tan.f64 B))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 B) (tan.f64 B)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 (cos.f64 B)) (neg.f64 (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (cos.f64 B) -2) (pow.f64 (tan.f64 B) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 1 (cos.f64 B)) 3) (pow.f64 (tan.f64 B) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 (cos.f64 B) (tan.f64 B)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (cos.f64 B))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (cos.f64 B))) (cbrt.f64 (pow.f64 (cos.f64 B) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 B) -2)) (/.f64 1 (cbrt.f64 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 B) -1/2) (pow.f64 (cos.f64 B) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (cos.f64 B)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 B)) 2) -1) (pow.f64 (cbrt.f64 (cos.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 B)) -1) (pow.f64 (sqrt.f64 (cos.f64 B)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 B) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cos.f64 B)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (cos.f64 B)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (cos.f64 B))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 B) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 B) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (cos.f64 B)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (cos.f64 B))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (cos.f64 B))))))))

simplify116.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

492×	`distribute-lft-out_binary64`
492×	`unswap-sqr_binary64`
453×	`associate-/r*_binary64`
450×	`fma-def_binary64`
418×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	149
1	92	145
2	217	143
3	629	143
4	2362	143
5	4221	143
6	4935	143
7	5549	143
8	6398	143
9	7578	143

Stop Event

1×	node limit

Counts

68 → 67

Calls

Call 1

Inputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
1
(+.f64 1 (*.f64 1/2 (pow.f64 B 2)))
(+.f64 (.f64 5/24 (pow.f64 B 4)) (+.f64 1 (.f64 1/2 (pow.f64 B 2))))
(+.f64 (.f64 5/24 (pow.f64 B 4)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 B 2)) (*.f64 61/720 (pow.f64 B 6)))))

Outputs
(/.f64 1 B)
(+.f64 (*.f64 1/6 B) (/.f64 1 B))
(fma.f64 1/6 B (/.f64 1 B))
(fma.f64 B 1/6 (/.f64 1 B))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (/.f64 1 B)))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (/.f64 1 B)))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (/.f64 1 B)))
(+.f64 (.f64 7/360 (pow.f64 B 3)) (+.f64 (.f64 1/6 B) (+.f64 (*.f64 31/15120 (pow.f64 B 5)) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 1/6 B (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 7/360 (pow.f64 B 3) (fma.f64 B 1/6 (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(fma.f64 B 1/6 (fma.f64 7/360 (pow.f64 B 3) (fma.f64 31/15120 (pow.f64 B 5) (/.f64 1 B))))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
1
(+.f64 1 (*.f64 1/2 (pow.f64 B 2)))
(+.f64 1 (.f64 1/2 (.f64 B B)))
(fma.f64 1/2 (*.f64 B B) 1)
(fma.f64 B (*.f64 B 1/2) 1)
(+.f64 (.f64 5/24 (pow.f64 B 4)) (+.f64 1 (.f64 1/2 (pow.f64 B 2))))
(fma.f64 5/24 (pow.f64 B 4) (+.f64 1 (.f64 1/2 (.f64 B B))))
(fma.f64 5/24 (pow.f64 B 4) (fma.f64 1/2 (*.f64 B B) 1))
(fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) 1))
(fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) 1))
(+.f64 (.f64 5/24 (pow.f64 B 4)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 B 2)) (*.f64 61/720 (pow.f64 B 6)))))
(fma.f64 5/24 (pow.f64 B 4) (+.f64 1 (fma.f64 1/2 (.f64 B B) (.f64 61/720 (pow.f64 B 6)))))
(+.f64 (fma.f64 5/24 (pow.f64 B 4) (fma.f64 1/2 (.f64 B B) 1)) (.f64 61/720 (pow.f64 B 6)))
(fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) (fma.f64 61/720 (pow.f64 B 6) 1)))
(fma.f64 61/720 (pow.f64 B 6) (fma.f64 5/24 (pow.f64 B 4) (fma.f64 B (*.f64 B 1/2) 1)))
(fma.f64 B (*.f64 B 1/2) (fma.f64 5/24 (pow.f64 B 4) (fma.f64 61/720 (pow.f64 B 6) 1)))

eval479.0ms (3.7%)

Compiler: Compiled 10593 to 5573 computations (47.4% saved)

prune247.0ms (1.9%)

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	532	16	548
Fresh	4	10	14
Picked	0	1	1
Done	3	6	9
Total	539	33	572

Error

Counts

572 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	36.0b	(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
	33.3b	(*.f64 (/.f64 1 B) (-.f64 1 x))
✓	27.6b	(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
✓	33.3b	(/.f64 (-.f64 1 x) B)
	16.2b	(/.f64 (-.f64 1 x) (sin.f64 B))
	36.0b	(/.f64 (pow.f64 (pow.f64 (cos.f64 B) -1/2) 2) (tan.f64 B))
	16.3b	(+.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))) (/.f64 1 B))
	45.6b	(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
	15.1b	(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 1 x))
✓	0.3b	(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))
	41.8b	(/.f64 1 (tan.f64 B))
✓	0.2b	(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
	27.6b	(/.f64 1 (sin.f64 B))
	33.3b	(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
	15.1b	(pow.f64 (/.f64 (tan.f64 B) (-.f64 1 x)) -1)
	53.1b	(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
	33.6b	(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
	42.1b	(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
✓	16.3b	(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
	24.3b	(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (sin.f64 B)) (tan.f64 B))
	61.8b	(*.f64 B 1/6)
	53.0b	(/.f64 (neg.f64 x) B)
✓	15.0b	(/.f64 (-.f64 1 x) (tan.f64 B))
	53.1b	(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
	36.0b	(/.f64 (neg.f64 x) (tan.f64 B))
✓	43.2b	(/.f64 1 B)
	33.5b	(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
	32.3b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) -3)))
	45.6b	(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
	27.6b	(/.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 B))) 1) (tan.f64 B))
	17.7b	(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
	27.7b	(*.f64 (/.f64 (/.f64 1 (cos.f64 B)) (sin.f64 B)) (cos.f64 B))
	33.3b	(/.f64 1 (/.f64 B (-.f64 1 x)))

Compiler

Compiled 351 to 255 computations (27.4% saved)

regimes125.0ms (1%)

Counts

62 → 1

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 1 x))
(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))) (/.f64 1 B))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(pow.f64 (/.f64 (tan.f64 B) (-.f64 1 x)) -1)
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 (+.f64 1 (/.f64 1 (cos.f64 B))) 1) (tan.f64 B))
(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 (*.f64 (cos.f64 B) x))))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 (sin.f64 B)))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x (tan.f64 B)))
(*.f64 (/.f64 (/.f64 1 (cos.f64 B)) (sin.f64 B)) (cos.f64 B))
(*.f64 (-.f64 (/.f64 1 (cos.f64 B)) x) (/.f64 (cos.f64 B) (sin.f64 B)))
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x B)) (sin.f64 B)) (tan.f64 B))
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 (*.f64 (cos.f64 B) x) (sin.f64 B)))
(/.f64 (pow.f64 (pow.f64 (cos.f64 B) -1/2) 2) (tan.f64 B))
(-.f64 (pow.f64 (sqrt.f64 (sin.f64 B)) -2) (/.f64 x (tan.f64 B)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 B) -3)) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 B)) -3) (/.f64 x (tan.f64 B)))
(-.f64 (pow.f64 (pow.f64 (sin.f64 B) -1/2) 2) (/.f64 x (tan.f64 B)))
(-.f64 (log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 B)))) (/.f64 x (tan.f64 B)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))) 3)
(/.f64 (/.f64 (-.f64 (tan.f64 B) (*.f64 x (sin.f64 B))) (sin.f64 B)) (tan.f64 B))
(/.f64 (-.f64 (tan.f64 B) (.f64 x (sin.f64 B))) (.f64 (tan.f64 B) (sin.f64 B)))
(log.f64 (/.f64 1 (exp.f64 (-.f64 (/.f64 x (tan.f64 B)) (/.f64 1 (sin.f64 B))))))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B)) -3)))
(*.f64 (/.f64 (fma.f64 x (neg.f64 (sin.f64 B)) (tan.f64 B)) 1) (/.f64 (/.f64 1 (sin.f64 B)) (tan.f64 B)))

Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))

Calls

3 calls:

35.0ms	x
35.0ms	B
34.0ms	(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))

Results

Error	Segments	Branch
0.1b	1	`B`
0.1b	1	`x`
0.1b	1	`(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 (sin.f64 B)))`

Compiler

Compiled 617 to 315 computations (48.9% saved)

regimes50.0ms (0.4%)

Counts

40 → 1

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 1 x))
(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))) (/.f64 1 B))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(pow.f64 (/.f64 (tan.f64 B) (-.f64 1 x)) -1)
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

Outputs
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))

Calls

2 calls:

20.0ms	x
19.0ms	B

Results

Error	Segments	Branch
0.2b	1	`B`
0.2b	1	`x`

Compiler

Compiled 346 to 191 computations (44.8% saved)

regimes284.0ms (2.2%)

Counts

38 → 3

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))
(*.f64 (/.f64 1 (tan.f64 B)) (-.f64 1 x))
(/.f64 1 (/.f64 (sin.f64 B) (-.f64 1 x)))
(-.f64 (/.f64 1 B) (/.f64 x (tan.f64 B)))
(+.f64 (neg.f64 (/.f64 1 (/.f64 (tan.f64 B) x))) (/.f64 1 B))
(+.f64 (neg.f64 (*.f64 x (/.f64 1 (tan.f64 B)))) (/.f64 1 B))
(-.f64 (-.f64 (+.f64 1 (/.f64 1 (sin.f64 B))) 1) (/.f64 x B))
(+.f64 (neg.f64 (/.f64 1 (*.f64 (/.f64 1 x) (tan.f64 B)))) (/.f64 1 B))
(/.f64 (/.f64 1 (cos.f64 B)) (tan.f64 B))
(pow.f64 (/.f64 (tan.f64 B) (-.f64 1 x)) -1)
(*.f64 (/.f64 x (sin.f64 B)) (neg.f64 (cos.f64 B)))
(*.f64 x (/.f64 (neg.f64 (cos.f64 B)) (sin.f64 B)))

Outputs
(/.f64 (-.f64 1 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(/.f64 (-.f64 1 x) (tan.f64 B))

Calls

2 calls:

210.0ms	B
57.0ms	x

Results

Error	Segments	Branch
10.2b	6	`B`
0.7b	3	`x`

Compiler

Compiled 328 to 184 computations (43.9% saved)

bsearch208.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	0.014408954155521377	205.44138738823082
111.0ms	-152475655029384.56	-0.029457210444876276

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes270.0ms (2.1%)

Counts

26 → 3

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))

Outputs
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 (-.f64 1 x) (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))

Calls

2 calls:

186.0ms	B
72.0ms	x

Results

Error	Segments	Branch
10.9b	6	`B`
0.9b	3	`x`

Compiler

Compiled 220 to 123 computations (44.1% saved)

bsearch259.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	786574477199527.9	8381600386419593.0
128.0ms	-152475655029384.56	-0.029457210444876276

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes432.0ms (3.4%)

Counts

25 → 3

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))

Outputs
(/.f64 (neg.f64 x) (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 (neg.f64 x) (tan.f64 B))

Calls

2 calls:

336.0ms	B
68.0ms	x

Results

Error	Segments	Branch
12.2b	7	`B`
1.7b	3	`x`

Compiler

Compiled 214 to 120 computations (43.9% saved)

bsearch156.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	0.014408954155521377	205.44138738823082
96.0ms	-152475655029384.56	-0.029457210444876276

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes81.0ms (0.6%)

Counts

24 → 3

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))
(/.f64 1 (sin.f64 B))

Outputs
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 1 (sin.f64 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))

Calls

2 calls:

38.0ms	x
34.0ms	B

Results

Error	Segments	Branch
17.7b	3	`B`
17.7b	3	`x`

Compiler

Compiled 209 to 119 computations (43.1% saved)

bsearch117.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
55.0ms	205.44138738823082	14217.40279731392
61.0ms	-3.3799599615099416e-12	-2.9510612848464947e-24

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes67.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))
(/.f64 1 (tan.f64 B))

Outputs
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 1 (tan.f64 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))

Calls

2 calls:

34.0ms	x
22.0ms	B

Results

Error	Segments	Branch
33.3b	1	`B`
32.0b	3	`x`

Compiler

Compiled 197 to 112 computations (43.1% saved)

bsearch127.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	0.014408954155521377	205.44138738823082
64.0ms	-3.3799599615099416e-12	-2.9510612848464947e-24

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes28.0ms (0.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 B (.f64 B x)) (.f64 B B))
(.f64 (-.f64 (.f64 1/3 B) (/.f64 1 B)) x)
(/.f64 1 (/.f64 (.f64 B B) (-.f64 B (.f64 B x))))
(/.f64 (-.f64 (/.f64 B x) B) (*.f64 B (/.f64 B x)))
(-.f64 (+.f64 (*.f64 1/6 B) (/.f64 1 B)) (/.f64 x B))
(-.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 x B)) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 1/3 (.f64 B x)) (/.f64 1 B)) (/.f64 x B))
(+.f64 (neg.f64 (.f64 x (+.f64 (.f64 -1/3 B) (/.f64 1 B)))) (/.f64 1 B))
(-.f64 (+.f64 (.f64 -1/3 (.f64 B (-.f64 1 x))) (/.f64 1 B)) (/.f64 x B))
(-.f64 (+.f64 (.f64 (+.f64 1/6 (.f64 1/3 x)) B) (/.f64 1 B)) (/.f64 x B))

Outputs
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))

Calls

2 calls:

12.0ms	x
10.0ms	B

Results

Error	Segments	Branch
33.3b	1	`B`
33.3b	1	`x`

Compiler

Compiled 193 to 109 computations (43.5% saved)

regimes16.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)
(/.f64 (-.f64 1 x) B)
(*.f64 (/.f64 1 B) (-.f64 1 x))
(-.f64 (/.f64 1 B) (/.f64 x B))
(/.f64 1 (/.f64 B (-.f64 1 x)))
(+.f64 (neg.f64 (/.f64 x B)) (/.f64 1 B))

Outputs
(/.f64 (-.f64 1 x) B)

Calls

2 calls:

6.0ms	B
5.0ms	x

Results

Error	Segments	Branch
33.3b	1	`B`
33.3b	1	`x`

Compiler

Compiled 52 to 33 computations (36.5% saved)

regimes21.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)

Outputs
(/.f64 (neg.f64 x) B)
(/.f64 1 B)
(/.f64 (neg.f64 x) B)

Calls

2 calls:

10.0ms	x
10.0ms	B

Results

Error	Segments	Branch
41.9b	3	`B`
34.2b	3	`x`

Compiler

Compiled 18 to 12 computations (33.3% saved)

bsearch113.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	205.44138738823082	14217.40279731392
54.0ms	-152475655029384.56	-0.029457210444876276

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes9.0ms (0.1%)

Accuracy

Total -18.9b remaining (-43.7%)

Threshold costs -18.9b (-43.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 B 1/6)
(/.f64 1 B)

Outputs
(/.f64 1 B)

Calls

2 calls:

4.0ms	B
3.0ms	x

Results

Error	Segments	Branch
43.2b	1	`B`
43.2b	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
8×	`sub-neg_binary64`
7×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	282
1	67	282
2	84	282
3	93	282
4	97	282

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(if (<=.f64 x -2439610480470153/16) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 (-.f64 1 x) (sin.f64 B)) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -2439610480470153/16) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 6292595817596223/8) (/.f64 (-.f64 1 x) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -2439610480470153/16) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -8368375535069259/2475880078570760549798248448) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B)) (if (<=.f64 x 7228326216313391/35184372088832) (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B))))
(if (<=.f64 x -8368375535069259/2475880078570760549798248448) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 1 (tan.f64 B)) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B))))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -2439610480470153/16) (/.f64 (neg.f64 x) B) (if (<=.f64 x 7228326216313391/35184372088832) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(/.f64 1 B)
(*.f64 B 1/6)

Outputs
(-.f64 (/.f64 1 (sin.f64 B)) (/.f64 x (tan.f64 B)))
(/.f64 (-.f64 1 (*.f64 (cos.f64 B) x)) (sin.f64 B))
(/.f64 (-.f64 1 (*.f64 x (cos.f64 B))) (sin.f64 B))
(if (<=.f64 x -2439610480470153/16) (/.f64 (-.f64 1 x) (tan.f64 B)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 (-.f64 1 x) (sin.f64 B)) (/.f64 (-.f64 1 x) (tan.f64 B))))
(if (<=.f64 x -2439610480470153/16) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 6292595817596223/8) (/.f64 (-.f64 1 x) (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -2439610480470153/16) (/.f64 (neg.f64 x) (tan.f64 B)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 1 (sin.f64 B)) (/.f64 (neg.f64 x) (tan.f64 B))))
(if (<=.f64 x -8368375535069259/2475880078570760549798248448) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B)) (if (<=.f64 x 7228326216313391/35184372088832) (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B))))
(if (<=.f64 x -8368375535069259/2475880078570760549798248448) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 B 1/6)) (if (<=.f64 x 7228326216313391/35184372088832) (/.f64 1 (sin.f64 B)) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 B 1/6))))
(if (<=.f64 x -8368375535069259/2475880078570760549798248448) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 1 (tan.f64 B)) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 1/6 B))))
(if (<=.f64 x -8368375535069259/2475880078570760549798248448) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 B 1/6)) (if (<=.f64 x 8306196552397393/576460752303423488) (/.f64 1 (tan.f64 B)) (+.f64 (/.f64 (-.f64 1 x) B) (.f64 B 1/6))))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 1/6 B))
(+.f64 (/.f64 (-.f64 1 x) B) (*.f64 B 1/6))
(/.f64 (-.f64 1 x) B)
(if (<=.f64 x -2439610480470153/16) (/.f64 (neg.f64 x) B) (if (<=.f64 x 7228326216313391/35184372088832) (/.f64 1 B) (/.f64 (neg.f64 x) B)))
(if (<=.f64 x -2439610480470153/16) (neg.f64 (/.f64 x B)) (if (<=.f64 x 7228326216313391/35184372088832) (/.f64 1 B) (neg.f64 (/.f64 x B))))
(/.f64 1 B)
(*.f64 B 1/6)

Compiler

Compiled 213 to 143 computations (32.9% saved)

soundness36.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

105×	`fma-def_binary64`
66×	`fma-neg_binary64`
28×	`cancel-sign-sub-inv_binary64`
19×	`sub-neg_binary64`
11×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Stop Event

1×

saturated

Compiler

Compiled 65 to 50 computations (23.1% saved)

end112.0ms (0.9%)

Compiler: Compiled 191 to 110 computations (42.4% saved)

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14

Iter	Nodes	Cost
0	14	163
1	26	163
2	35	163
3	48	163
4	68	163
5	101	163
6	166	163
7	298	163
8	526	163
9	671	163
10	717	163

Iter	Nodes	Cost
0	11	19
1	24	14
2	53	14
3	92	14
4	145	14
5	218	14
6	269	14
7	343	14
8	425	14
9	446	14
10	451	14